Shaunda said that buying 4 towels for $17 was a better buy than buying 2 towels for $9. She found her answer by doubling the terms in the ratio 9:2 and comparing the first term in the ratios. Is she correct? Use unit prices to support your answer.

The cost for a towel at 4 for $17 is:
17/4 =** 4.25 $/towel**
The cost for a towel at 2 for $9 is:
9/2 =** 4.5 $/towel**
So Shaunda is correct, as the cost per towel for 4 at $17 is lower.

Answered by ollieboyne | 2024-06-10

Shaunda is correct that buying 4 towels for $17 is a better buy compared to 2 towels for $9, as the unit price of the first option is lower.
To determine whether Shaunda's statement about the better buy is correct, we should calculate the unit price for each option.
For 4 towels at $17, the unit price is $17 / 4 = $4.25 per towel.
For 2 towels at $9, the unit price is $9 / 2 = $4.50 per towel.
Comparing the unit prices, the 4 towels for $17 offer a lower unit price of $4.25 per towel, versus the 2 towels for $9 at a unit price of $4.50 per towel. Therefore, Shaunda is correct; buying 4 towels for $17 is a better buy. Simply doubling the terms in the ratio 9:2 to compare the first terms is not an accurate method for this comparison.

Answered by PragatiR | 2024-06-24

Shaunda is correct; the unit price of the towels purchased in bulk is less expensive. The cost per towel for 4 towels at $17 is $4.25, while the cost for 2 towels at $9 is $4.50. Therefore, buying 4 towels is the better deal.
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Answered by ollieboyne | 2024-12-26