Best friends, Olivia and Sylvia both get a weekly allowance, Olivia 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 answer

Let's represent Olivia's allowance as x and Sylvia's allowance as y.

According to the given ratio, we have the equation:

x/y = 2/3

We know that Sylvia gets $21, so we can substitute y with 21 in the equation:

x/21 = 2/3

To find the value of x, we can cross-multiply:

3x = 2 * 21

3x = 42

Dividing both sides by 3:

x = 42/3

x = 14

Therefore, Olivia got $14.