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)

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1 answer

Let's assume that Olivia gets $x as her allowance.
Since Sylvia's allowance is in the ratio 2:3 with Olivia's, we can set up the following equation:
2/3 = x/21
By cross multiplying, we have:
3x = 2 * 21
3x = 42
x = 42/3
x = 14
Therefore, Olivia got $14 as her allowance.