Question

Kendra sold 50 boxes of cookies in 20 days. Her older sister, Alicia sold twice as many boxes in half as many days. If the two girls continued at the same sales rates how many total boxes would both girls have sold if they had both sold cookies for 40 days

Answer 1

Answer: Kendra would sell 100 boxes in 40 days and Alicia would sell 400 boxes in 40 days.

Explanation:

1. Find the ratio of how much boxes would be sold in 10 days.

25
Kendra: ___

10

100

Alicia: ___

10

2) Multiply the ratio by 4.

You should get 100 boxes for Kendra and 400 for Alicia.

Answer 2

AI-generated answer

If Kendra sold 50 boxes of cookies in 20 days, that means she sold an average of 50/20 = 2.5 boxes per day.

Alicia, on the other hand, sold twice as many boxes as Kendra, so she sold 2 * 50 = 100 boxes.

Alicia sold these boxes in half as many days as Kendra, so she sold them in 20/2 = 10 days.

This means that Alicia sold an average of 100/10 = 10 boxes per day.

Now, if both girls continued at the same sales rates, we can calculate how many boxes they would sell if they had both sold cookies for 40 days.

Kendra's average sales rate is 2.5 boxes per day, so in 40 days she would sell 2.5 * 40 = 100 boxes.

Alicia's average sales rate is 10 boxes per day, so in 40 days she would sell 10 * 40 = 400 boxes.

To find the total number of boxes both girls would have sold, we simply add their individual totals: 100 + 400 = 500 boxes.

Therefore, if Kendra and Alicia continued at the same sales rates, they would have sold a total of 500 boxes if they had both sold cookies for 40 days.