Question
Kendra is choosing bouquets of flowers for table centerpieces.
She decides to buy 40 bouquets for $120 because she thinks that price is a better value than 40 bouquets for $2.50 each.
Explain Kendra’s error.
She decides to buy 40 bouquets for $120 because she thinks that price is a better value than 40 bouquets for $2.50 each.
Explain Kendra’s error.
Answers
GPT-4o mini
Kendra's error lies in her misunderstanding of the cost of the bouquets.
When she considers buying 40 bouquets for $120, the cost per bouquet can be calculated as:
\[
\text{Cost per bouquet} = \frac{120}{40} = 3
\]
This means each bouquet costs $3.
On the other hand, if she buys 40 bouquets at $2.50 each, the total cost is:
\[
\text{Total cost} = 40 \times 2.50 = 100
\]
So, in this scenario, each bouquet costs $2.50, and the total cost for 40 bouquets is $100.
In summary, Kendra mistakenly thinks that spending $120 for 40 bouquets is a better deal, while in reality, spending $100 for the same number of bouquets at $2.50 each is the better value. Therefore, the error is in not accurately comparing the total costs based on the per-bouquet price.
When she considers buying 40 bouquets for $120, the cost per bouquet can be calculated as:
\[
\text{Cost per bouquet} = \frac{120}{40} = 3
\]
This means each bouquet costs $3.
On the other hand, if she buys 40 bouquets at $2.50 each, the total cost is:
\[
\text{Total cost} = 40 \times 2.50 = 100
\]
So, in this scenario, each bouquet costs $2.50, and the total cost for 40 bouquets is $100.
In summary, Kendra mistakenly thinks that spending $120 for 40 bouquets is a better deal, while in reality, spending $100 for the same number of bouquets at $2.50 each is the better value. Therefore, the error is in not accurately comparing the total costs based on the per-bouquet price.