USING UNIT RATES WORKSHEETS

About "Using Unit Rates Worksheets"

Using Unit Rates Worksheets : 

Worksheet given in this section is much useful to the students who would like to practice problems on unit rates.

Before look at using unit rates worksheets, if you want to know the stuff about unit rates, please click here. 

Now, let us look at the problems on "Using unit rates worksheets"

Using Unit Rates Worksheets - Problems

Problem 1 :

A store had 2 packs of paper for $0.84. How much would it cost if you were to buy 3 packs ?

Problem 2 :

A book store was selling 5 books for $38.40. Online the you could buy 6 books for $45.96. Which place has a lower unit price ?

Problem 3 :

At a comic book convention vendor 1 was selling a set of 4 comics for $30.88. Vendor 2 was selling a set of 3 comics for $22.98. Which vendor has the higher unit price ?

Problem 4 :

In September a clothing store had a sale where you could get 3 scarves for $10.62. In October the price was changed to 4 scarves for $14.36. On which month did a scarf cost the most ?

Problem 5 :

At a farming supply store 7 pounds of seeds cost $130.27. If a farmer needed 4 pounds of seeds, how much would it cost him ?

Problem 6 :

At the baseball stadium the price for popcorn is $7.64 for 4 bags. If you wanted to buy 5 bags of popcorn, how much would it cost ?

Problem 7 :

A shoe store was having a back to school sale where you could buy 6 pairs of shoes for $124.68. If a large family decided to buy 2 pairs of shoes, how much would it cost them ?

Problem 8 :

At the toy store you could get 3 board games for $17.88. Online the price for 6 board games is $36.30. Which place has the highest price for a board game ?

Problem 9 :

An ice company charged $6.40 for 5 bags of ice. If a convenience store bought 7 bags of ice, how much would it have cost them ?

Problem 10 :

On Monday the price for bottled water was 3 bottles for $4.17. On Saturday the price was 4 bottles for $5.60. Which day had the higher unit price ?

Here, you can have step by step solution for each problem given above on "Using unit rates worksheets".

Using Unit Rates Worksheets - Solution

Problem 1 :

A store had 2 packs of paper for $0.84. How much would it cost if you were to buy 3 packs ?

Solution : 

The cost of one pack of paper is 

=  0.84 / 2

=  $0.42

The cost of 3 packs of paper is 

=  3 ⋅ 0.42

=  $1.26

Problem 2 :

A book store was selling 5 books for $38.40. Online the you could buy 6 books for $45.96. Which place has a lower unit price ?

Solution : 

Book Store

Cost of 1 book  is

=  38.40 / 5

=  $7.68

Online

Cost of 1 book  is

=  45.96 / 6

=  $7.66

7.68 7.66

Comparing the unit prices in book store and online, online has lower unit price.  

Problem 3 :

At a comic book convention vendor 1 was selling a set of 4 comics for $30.88. Vendor 2 was selling a set of 3 comics for $22.98. Which vendor has the higher unit price ?

Solution : 

Vendor 1

Cost of 1 comic  is

=  30.88 / 4

=  $7.72

Vendor 2

Cost of 1 book  is

=  22.98 / 3

=  $7.66

7.72 7.66

Comparing the unit prices of vendor 1 and vendor 2, we have that vendor 1 has the higher unit price. 

Problem 4 :

In September a clothing store had a sale where you could get 3 scarves for $10.62. In October the price was changed to 4 scarves for $14.36. On which month did a scarf cost the most ?

Solution : 

September

Cost of 1 scarf  is

=  10.62 / 3

=  $3.54

October

Cost of 1 scarf  is

=  14.36 / 4

=  $3.59

3.54 < 3.59

Comparing the unit prices of scarves in September and October, we have that unit price of scarf in October was higher.  

Problem 5 :

At a farming supply store 7 pounds of seeds cost $130.27. If a farmer needed 4 pounds of seeds, how much would it cost him ?

Solution : 

The cost of 1 pound of seeds is 

=  130.27 / 7

=  $18.61

The cost of 4 pounds of seeds is 

=  4 ⋅ 18.61

=  $74.44

Problem 6 :

At the baseball stadium the price for popcorn is $7.64 for 4 bags. If you wanted to buy 5 bags of popcorn, how much would it cost ?

Solution : 

The cost of 1 bag of popcorn is 

=  7.64 / 4

=  $1.91

The cost of 5 bags of popcorn is

=  5 ⋅ 1.91

=  $9.55

Problem 7 :

A shoe store was having a back to school sale where you could buy 6 pairs of shoes for $124.68. If a large family decided to buy 2 pairs of shoes, how much would it cost them ?

Solution : 

The cost of 1 pair of shoes is 

=  124.68 / 6

=  $20.78

The cost of 2 pairs of shoes is 

=  2 ⋅ 20.78

=  $41.56

Problem 8 :

At the toy store you could get 3 board games for $17.88. Online the price for 6 board games is $36.30. Which place has the highest price for a board game ?

Solution : 

Toy Store

Cost of 1 board game  is

=  17.88 / 3

=  $5.96

Online

Cost of 1 board game  is

=  36.30 / 6

=  $6.05

5.96 < 6.05

Comparing the unit prices in toy store and online, online has the highest price.  

Problem 9 :

An ice company charged $6.40 for 5 bags of ice. If a convenience store bought 7 bags of ice, how much would it have cost them ?

Solution : 

The cost of 1 bag of ice is 

=  6.40 / 5

=  $1.28

The cost of 7 bags of ice is

=  7 ⋅ 1.28

=  $8.96

Problem 10 :

On Monday the price for bottled water was 3 bottles for $4.17. On Saturday the price was 4 bottles for $5.60. Which day had the higher unit price ?

Solution : 

On Monday

Cost of 1 bottle  is

=  4.17 / 3

=  $1.39

On Saturday

Cost of 1 bottle is

=  5.60 / 4

=  $1.40

1.39 < 1.40

Comparing the unit prices on Monday and Saturday, we have that the unit price on Saturday is higher.    

After having gone through the stuff given on "Using unit rate worksheets", we hope that the students would have understood how to solve problems using unit rates. 

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ALGEBRA

Variables and constants

Writing and evaluating expressions

Solving linear equations using elimination method

Solving linear equations using substitution method

Solving linear equations using cross multiplication method

Solving one step equations

Solving quadratic equations by factoring

Solving quadratic equations by quadratic formula

Solving quadratic equations by completing square

Nature of the roots of a quadratic equations

Sum and product of the roots of a quadratic equations 

Algebraic identities

Solving absolute value equations 

Solving Absolute value inequalities

Graphing absolute value equations  

Combining like terms

Square root of polynomials 

HCF and LCM 

Remainder theorem

Synthetic division

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Comparing surds

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Negative exponents rules

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COMPETITIVE EXAMS

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APTITUDE TESTS ONLINE

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ACT MATH ONLINE TEST

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PEMDAS Rule

WORKSHEETS

Converting customary units worksheet

Converting metric units worksheet

Decimal representation worksheets

Double facts worksheets

Missing addend worksheets

Mensuration worksheets

Geometry worksheets

Comparing  rates worksheet

Customary units worksheet

Metric units worksheet

Complementary and supplementary worksheet

Complementary and supplementary word problems worksheet

Area and perimeter worksheets

Sum of the angles in a triangle is 180 degree worksheet

Types of angles worksheet

Properties of parallelogram worksheet

Proving triangle congruence worksheet

Special line segments in triangles worksheet

Proving trigonometric identities worksheet

Properties of triangle worksheet

Estimating percent worksheets

Quadratic equations word problems worksheet

Integers and absolute value worksheets

Decimal place value worksheets

Distributive property of multiplication worksheet - I

Distributive property of multiplication worksheet - II

Writing and evaluating expressions worksheet

Nature of the roots of a quadratic equation worksheets

Determine if the relationship is proportional worksheet

TRIGONOMETRY

SOHCAHTOA

Trigonometric ratio table

Problems on trigonometric ratios

Trigonometric ratios of some specific angles

ASTC formula

All silver tea cups

All students take calculus 

All sin tan cos rule

Trigonometric ratios of some negative angles

Trigonometric ratios of 90 degree minus theta

Trigonometric ratios of 90 degree plus theta

Trigonometric ratios of 180 degree plus theta

Trigonometric ratios of 180 degree minus theta

Trigonometric ratios of 180 degree plus theta

Trigonometric ratios of 270 degree minus theta

Trigonometric ratios of 270 degree plus theta

Trigonometric ratios of angles greater than or equal to 360 degree

Trigonometric ratios of complementary angles

Trigonometric ratios of supplementary angles 

Trigonometric identities 

Problems on trigonometric identities 

Trigonometry heights and distances

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Solving word problems in trigonometry

Pythagorean theorem

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Area and perimeter

Volume

GEOMETRY

Types of angles 

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Sum of the angle in a triangle is 180 degree

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Construction of triangles - I 

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Construction of angles - II

Construction angle bisector

Construction of perpendicular

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Geometry dictionary

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Angle bisector theorem

Basic proportionality theorem

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Word problems on unit price

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Percent of a number word problems

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Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS 

Profit and loss shortcuts

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Domain and range of rational functions

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Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6

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