Gretchen can buy 17.4 ounces of brand a toothpaste for $5.22, or she can buy 26.6 ounces of Brand B toothpaste for $6.65. which of the following explains which is better deal?

Question

brand A is the better deal, because it costs $0.08 less per ounce than brand B.

brand A is the better deal, because it costs $0.05 less per ounces than brand B.

brand B is the better deal, because it costs $0.08 less per ounce than brand A.

Brand B is the better deal, because it costs $0.05 less per ounce than brand A.

Answer 1

To determine which brand of toothpaste is a better deal, we first need to calculate the cost per ounce for both Brand A and Brand B.

Brand A:

• Cost: $5.22
• Ounces: 17.4

Cost per ounce for Brand A: \[ \text{Cost per ounce for Brand A} = \frac{5.22}{17.4} \approx 0.299 \text{ dollars per ounce (or 29.9 cents per ounce)} \]

Brand B:

• Cost: $6.65
• Ounces: 26.6

Cost per ounce for Brand B: \[ \text{Cost per ounce for Brand B} = \frac{6.65}{26.6} \approx 0.250 \text{ dollars per ounce (or 25.0 cents per ounce)} \]

Now we can compare the costs per ounce of both brands:

• Brand A: approximately $0.299 per ounce
• Brand B: approximately $0.250 per ounce

Now we calculate the difference in cost per ounce: \[ \text{Difference} = 0.299 - 0.250 \approx 0.049 \text{ or 0.05 dollars} \]

Thus, Brand B costs approximately $0.05 less per ounce than Brand A.

Based on these calculations, the correct conclusion is: Brand B is the better deal, because it costs $0.05 less per ounce than Brand A.