Best friends Olivia and Sylvia both get a weekly allowance. Olivia’s and Sylvia’s allowances are in the ratio 2:3 . If Sylvia gets $21 one week, how much did Olivia get? Use a tape diagram to help organize your thinking.

Answer 1

To solve this problem, we can first set up a ratio between Olivia's and Sylvia's allowances. Since Sylvia's allowance is $21, we can represent her allowance as 3 parts. This means that Olivia's allowance is 2 parts.

To find Olivia's allowance, we need to determine the value of one part. Since Sylvia's allowance is 3 parts and equals $21, we can divide $21 by 3 to find the value of one part.

$21 ÷ 3 = $<<21/3=7>>7

So, one part represents $7.

Now, we can find Olivia's allowance by multiplying her share of parts (2 parts) by the value of one part.

2 parts × $7 = $<<2*7=14>>14

Therefore, Olivia received $14.