# UNIT PRICE WORD PROBLEMS

Problem 1 :

The book fair had a sale where 6 books were \$20.46. If you wanted to buy 7 books, how much money would you need ?

Solution :

Given : Cost of 6 books is \$20.46

Then, the cost of 1 book is

=  20.46 / 6

=  \$3.41

The cost of 7 books is

=  7 ⋅ 3.41

=  \$23.87

So, we need \$23.87 to buy 7 books.

Problem 2 :

A video game store was getting rid of old games, selling them 3 for \$56.28. If they sold 7 games, how much money would they have made ?

Solution :

Given : Cost of 3 old games is \$56.28

Then, the cost of 1 old game is

=  56.28 / 3

=  \$18.76

The Cost of 7 old games is

=  7 ⋅ 18.76

=  \$131.32

So, if they sold 7 games, they would they have made \$131.32

Problem 3 :

At the store beef jerky is \$44.25 for 3 pounds. If you buy 4 pounds, how much will it cost ?

Solution :

Given : Cost of 3 pounds is \$44.25

Then, the cost of 1 pound is

=  44.25 / 3

=  \$14.75

The Cost of 4 pounds is

=  4 ⋅ 14.75

=  \$59

So, 4 pounds of beef jerky will cost \$59.

Problem 4 :

At the baseball stadium the price for popcorn is \$5.88 for 3 bags. If you want to buy 7 bags of popcorn, how much will it cost ?

Solution :

Given : Cost of 3 bags is \$5.88

Then, the cost of 1 bag is

=  5.88 / 3

=  \$1.96

The Cost of 7 bags is

=  7 ⋅ 1.96

=  \$13.72

So,  if we want to buy 7 bags of popcorn, it will cost \$13.72

Problem 5 :

At the toy store you could get 2 board games for \$8.36. Online the price for 3 board games is \$12.84. Which place has the highest price for a board game ?

Solution :

 Toy StoreCost of 1 board game  is=  8.36 / 2=  \$4.18 OnlineCost of 1 board game  is=  12.84 / 3=  \$4.28

4.18 < 4.28

From the above comparison, it is clear that online has the highest price for a board game.

Problem 6 :

At the market you can buy 5 bags of apples for \$23.60. At the orchard you can get 7 bags of apples for \$32.76. Which is the better deal ?

Solution :

 MarketCost of 1 bag of apple is=  23.60 / 5=  \$4.72 OrchardCost of 1 bag of apple is=  32.76 / 7=  \$4.68

4.72 > 4.68

Comparing the unit prices, orchard has lower price. So buying apples in orchard is better deal.

Problem 7 :

A store had 4 blue chairs for \$73.48 or 5 red chairs for \$91.40. Which color chair has a lower unit price ?

Solution :

 Blue ChairCost of 1 chair is=  73.48 / 4=  \$18.37 Red ChairCost of 1 chair is=  91.40 / 5=  \$18.28

18.37 > 18.28

Comparing the unit prices, red color chair has a lower unit price

Problem 8 :

A fast food restaurant had 7 boxes of chicken nuggets for \$25.90. A competing restaurant had 3 boxes of chicken fingers for \$11.07. Which food has a higher unit price ?

Solution :

 Chicken NuggetsCost of 1 box is=  25.90 / 7=  \$3.70 Chicken FingerCost of 1 box is=  11.07 / 3=  \$3.69

3.70 > 3.69

Comparing the unit prices, chicken nugget has a higher unit price.

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Word problems on direct variation and inverse variation

Word problems on unit price

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Word problems on comparing rates

Converting customary units word problems

Converting metric units word problems

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Markup and markdown word problems

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Percent of a number word problems

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Word problems on average speed

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Graphing rational functions

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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

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Remainder when 17 power 23 is divided by 16

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

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