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QuestionCompare unit prices of 8-count AA batteries at \$6.24 and 20-count at \$15.80. Which pack has the lower unit price?

Studdy Solution

STEP 1

Assumptions1. The8-count AA batteries cost 6.24.The20−countAAbatteriescost6.24. The20-count AA batteries cost 15.803. We need to calculate the unit price for each package and compare them

STEP 2

First, we calculate the unit price for the8-count package. The unit price is the cost of the package divided by the number of batteries in the package.
Unit price for 8−count=Cost of 8−count packageNumber of batteries in 8−count packageUnit\, price\, for\,8-count = \frac{Cost\, of\,8-count\, package}{Number\, of\, batteries\, in\,8-count\, package}

STEP 3

Now, plug in the given values for the cost of the8-count package and the number of batteries in the8-count package to calculate the unit price.
Unit price for 8−count=$6.248Unit\, price\, for\,8-count = \frac{\$6.24}{8}

STEP 4

Calculate the unit price for the8-count package.
Unit price for 8−count=$6.248=$0.78Unit\, price\, for\,8-count = \frac{\$6.24}{8} = \$0.78

STEP 5

Next, we calculate the unit price for the20-count package. The unit price is the cost of the package divided by the number of batteries in the package.
Unit price for 20−count=Cost of 20−count packageNumber of batteries in 20−count packageUnit\, price\, for\,20-count = \frac{Cost\, of\,20-count\, package}{Number\, of\, batteries\, in\,20-count\, package}

STEP 6

Now, plug in the given values for the cost of the20-count package and the number of batteries in the20-count package to calculate the unit price.
Unit price for 20−count=$15.8020Unit\, price\, for\,20-count = \frac{\$15.80}{20}

STEP 7

Calculate the unit price for the20-count package.
Unit price for 20−count=$15.8020=$0.79Unit\, price\, for\,20-count = \frac{\$15.80}{20} = \$0.79

STEP 8

Now that we have the unit prices for both the8-count and20-count packages, we can compare them. The package with the lower unit price is the better deal.
The20-count pack of AA batteries has a higher unit price of 0.79perbattery,whilethe8−countpackofAAbatterieshasalowerunitpriceof0.79 per battery, while the8-count pack of AA batteries has a lower unit price of 0.78 per battery. Hence, the statement "The8-count pack of AA batteries has a lower unit price of $0.78 per battery" is true.

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