Question

Alice and Claire go apple picking. When they are done, Claire has 3 times as many apples in her basket as Alice has in hers. (Note: All of the apples are whole.)

List 3 possibilities for the number of apples that could be in the girls' baskets.


If Claire has
apples, then Alice has 2 apples.


If Claire has
apples, then Alice has 7 apples.


If Claire has
apples, then Alice has 10 apples
​

Answer 1

6 apples, 21 apples, 30 apples respectively

Explanation:

Let us first start by writing expressions so that we can easily solve for the problems below.

Let us suppose Alice is x. In this case, Claire has 3 times Alice's apples, so 3x.

1. If Alice has 2 apples (x), then Claire has 3x

3*2=6 apples

Claire has 6 apples.

2. If Alice has 7 apples (x), then Claire has 3x

3*7=21 apples

Claire has 21 apples.

3. If Alice has 10 apples (x), then Claire has 3x

3*10=30 apples

Claire has 30 apples.

I hope this helps! Please let me know if you have any further questions :)