Unitary method formula is required to find value of a single unit.
The formula is,
Unitary method definition and example :
Definition :
Unitary-method is all about finding value to a single unit.
Unitary-method can be used to calculate cost, measurements like liters and time.
Example :
If 18 units of a product cost $360,
then price per unit is = 360 / 18 = $20
To have better understanding on Unitary method formula, let us look at some practice problems on unitary method
Problem 1 :
75 basketballs cost $1,143.75. Find the unit rate in price per basketball.
Solution :
Given : 75 basketballs cost $1,143.75
Then, price pf one basket ball = 1143.75 / 75 = 15.25
Hence, the unit rate in price per basket ball is $ 15.25
Let us look at the next problem on "Unitary method formula"
Problem 2 :
If David sells 2 gallons of juice for $4, how much money will he earn by selling 17 gallons of juice ?
Solution :
Given : 2 gallons cost $4
Then, the price pf one gallon = 4 / 2 = $2
Price of 17 gallons = 2 x 17 = $34
Hence, David will earn $34 by selling 17 gallons of juice
Let us look at the next problem on "Unitary method formula"
Problem 3 :
The cost of a taxi is $40.50 for 15 miles. Find the cost per mile.
Solution :
Cost for 15 miles = 40.50
Cost for one mile = 40.50 / 15 = 2.70
Hence, the cost per mile is $2.70
Let us look at the next problem on "Unitary method formula"
Problem 4 :
In a business, if A can earn $ 7500 in 2.5 years, find the unit rate of his earning per month.
Solution :
Given : Earning in 2.5 years = $ 7500
1 year = 12 months
2.5 years = 2.5 x 12 = 30 months
Then, earning in 30 months = $ 7500
Therefore, earning in 1 month = 7500 / 30 = $ 250
Hence, the unit rate of his earning per month is $ 250
Let us look at the next problem on "Unitary method formula"
Problem 5 :
In 36.5 weeks, Miguel raised $2,372.50 for cancer research. How was his unit rate in price per week?
Solution :
Given : Miguel raised $2, 372.50 in 36.5 weeks
Then, amount raised in one week = 2372.5 / 36.5 = 65
Hence, the unit rate in price per week was $ 65
Let us look at the next problem on "Unitary method formula"
Problem 6 :
Shanel gets 2/ 5 of a dollar for 1/7 hour of work.How much money does she get per hour ?
Solution :
Pay for 1/7 hour of work = $2/5
Pay for 1 hour of work = (2/5) / (1/7)
Pay for 1 hour of work = (2/5) x (7/1)
Pay for 1 hour of work = 14 / 5
Pay for 1 hour of work = $2.8
Hence, Shanel gets $2.8 per hour
Let us look at the next problem on "Unitary method formula"
Problem 7 :
If 3 /35 of a gallon of gasoline costs 1/5 of a dollar, find the price of 1 gallon of gasoline.
Solution :
Cost of 3/35 of a gallon = $1/5
Cost of 1 gallon = (1/5) / (3/35)
Cost of 1 gallon = (1/5) x (35/3)
Cost of 1 gallon = 7 / 3
Cost of 1 gallon = 2.3
Hence, the cots of 1 gallon of gasoline is $ 2.30
Let us look at the next problem on "Unitary method formula"
Problem 8 :
Declan would like to hire a call taxi for 300 miles trip. If the cost of the taxi is $2.25 per mile, what is the total cost for his trip ?
Solution :
Cost for one mile = $2.25
Cost for 300 miles = 2.25 x 300
Cost for 300 miles = $675
Hence, the total cost for the trip is $675
Let us look at the next problem on "Unitary method formula"
Problem 9 :
John ordered 330 units of a product for $495. Then he reduced his order to 270 units. How much money does John have to pay for 270 units ?
Solution :
Cost of 330 units = $495
Cost of 1 unit = 495 / 330
Cost of 1 unit = 1.5
Cost of 270 units = 1.5 x 270
Cost of 270 units = $405
Hence, John has to pay $405 for 270 units
Let us look at the next problem on "Unitary method formula"
Problem 10 :
My David earns $416 in 8 hours. How much does earn in 2.8 hours ?
Solution :
Given : Earning in 8 hours = $ 416
Earning in 1 hour = $ 52
Earning in 2.8 hours = 52 x 2.8 = 145.6
Hence, Mr. David will earn $145.6 in 2.8 hours
Problem 1 :
Which is the best deal,
8 dolls cost $120
or
6 dolls cost $102 ?
Solution :
To compare the given measures, convert them in to unit rates.
8 dolls cost $120 Cost of 1 doll = 120 / 8 Cost of 1 doll = $15 |
6 dolls cost $102 Cost of 1 doll = 102 / 6 Cost of 1 doll = $17 |
We get the lowest price per doll is $15 in "8 dolls cost $120"
Hence, "8 dolls cost $120" is the best deal
Let us look at the next problem on "Unitary method formula"
Problem 2 :
Which is the best deal,
10 pencils cost $4
or
6 pencils cost $2.70 ?
Solution :
To compare the given measures, convert them in to unit rates.
Cost of 10 pencils = $4 Cost of 1 pencil = 4 / 10 Cost of 1 pencil = $0.40 |
Cost of 6 pencils = $2.70 Cost of 1 pencil = 2.7 / 6 Cost of 1 pencil = $0.45 |
We get the lowest price per pencil $0.40 in "10 pencils cost $4"
Hence, "10 pencils cost $4" is the best deal
Let us look at the next problem on "Unitary method formula"
Problem 3 :
Which is the best deal,
2 liters of milk at $3.80
or
1.5 liters of milk at $2.70 ?
Solution :
To compare the given measures, convert them in to unit rates.
2 liters of milk at $3.80 Cost of 1 liter = 3.8 / 2 Cost of 1 liter = $ 1.90 |
2 liters of milk at $2.70 Cost of 1 liter = 2.7 / 1.5 Cost of 1 liter = $ 1.8 |
From the above unit rates, we get the lower price per liter of milk $1.8 in "2 liters cost $2.70"
Hence, "2 liters cost $2.70" is the best deal
Let us look at the next problem on "comparing unit prices"
Problem 4 :
Who is better in earning,
David earns $57.60 in 8 hours
or
John earns $90 in 12 hours ?
Solution :
To compare the given measures, convert them in to unit rates.
David Earning in 8 hrs = $57.60 Earning in 1 hr = 57.60 / 8 Earning in 1 hr = $7.20 |
John Earning in 12 hrs = $90 Earning in 1 hr = 90 / 12 Earning in 1 hr = $7.50 |
From the above unit rates, John earns more than David per hour.
Hence, John is earning better
Let us look at the next problem on "Unitary method formula"
Problem 5 :
Which is best,
500 grams cheese cost $ 3.25
or
1.5 kilograms cheese cost $ 9.9
Solution :
To compare the given measures, convert them in to unit rates in price per kilogram.
500 grams -----> $3.25 1 kilogram = 2 x 500 grams Price of 1 kg = 2 x 3.25 Price of 1 kg = $6.5 |
1.5 kilograms -----> $9.9 Price of 1 kg = 9.9 / 1.5 Price of 1 kg = $6.6 |
From the above unit rates, we get the lower price per kilogram $6.5 in "500 grams cheese cost $ 3.25"
Hence, "500 grams cheese cost $ 3.25" is the best deal
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