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.(1 point)

Answer 1

To solve this problem using a tape diagram, we will create two equal-length segments for Olivia and Sylvia, respectively.

Since Sylvia gets $21, we divide it into three equal parts: $21/3 = $7 per part.

Olivia's segment will have two equal parts since it is in the ratio 2:3.

Therefore, Olivia gets 2 * $7 = $<<2*7=14>>14. Answer: \boxed{14}.