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QuestionFind the unit price for a 12.3-ounce package costing \$2.74 and a 30.6-ounce package costing \$7.48. Which is cheaper?

Studdy Solution

STEP 1

Assumptions1. The first package size is12.3 ounces and costs .74.Thesecondpackagesizeis30.6ouncesandcosts.74. The second package size is30.6 ounces and costs 7.483. The unit price is calculated as cost per ounce4. The better buy is determined by the lower unit price

STEP 2

First, we need to find the unit price for the first package. We can do this by dividing the cost of the package by its size.
Unit price 1=Cost of package 1Size of package 1Unit\, price\,1 = \frac{Cost\, of\, package\,1}{Size\, of\, package\,1}

STEP 3

Now, plug in the given values for the cost and size of the first package to calculate the unit price.
Unit price 1=$2.7412.3 ouncesUnit\, price\,1 = \frac{\$2.74}{12.3\, ounces}

STEP 4

Calculate the unit price for the first package.
Unit price 1=$2.7412.3 ounces=$0.223Unit\, price\,1 = \frac{\$2.74}{12.3\, ounces} = \$0.223

STEP 5

Round the unit price for the first package to the nearest cent.
Unit price 1=$0.22Unit\, price\,1 = \$0.22

STEP 6

Next, we need to find the unit price for the second package. We can do this by dividing the cost of the package by its size.
Unit price 2=Cost of package 2Size of package 2Unit\, price\,2 = \frac{Cost\, of\, package\,2}{Size\, of\, package\,2}

STEP 7

Now, plug in the given values for the cost and size of the second package to calculate the unit price.
Unit price 2=$7.4830.6 ouncesUnit\, price\,2 = \frac{\$7.48}{30.6\, ounces}

STEP 8

Calculate the unit price for the second package.
Unit price 2=$7.4830.6 ounces=$0.244Unit\, price\,2 = \frac{\$7.48}{30.6\, ounces} = \$0.244

STEP 9

Round the unit price for the second package to the nearest cent.
Unit price 2=$.24Unit\, price\,2 = \$.24

STEP 10

Now that we have the unit prices for both packages, we can compare them to determine which package is the better buy. The package with the lower unit price is the better buy.
The unit price for the first package is 0.22perounce,andtheunitpriceforthesecondpackageis0.22 per ounce, and the unit price for the second package is 0.24 per ounce. Therefore, the first package is the better buy.

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