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

Let's represent the ratio of Olivia's and Sylvia's allowances as 2x:3x.

We know that Sylvia gets $21 one week, which represents 3x. So, we can set up the equation 3x = 21.

To find x, we divide both sides of the equation by 3. 3x/3 = 21/3, which simplifies to x = 7.

Now, we can find Olivia's allowance by multiplying her ratio (2x) by x. Olivia gets 2 * 7 = $<<2*7=14>>14. Answer: \boxed{14}.