Best friend, Olivia and Sylvia both get a weekly allowance. Olivia and Sylvia‘s allowance are in the ratio 2 : 3 L Sylvia gets $21 one week. How much did Olivia get use a tape diagram to help organize your thinking

1 answer

To use a tape diagram to organize our thinking, we can draw two rectangles to represent Olivia's and Sylvia's allowances. Let's label Olivia's rectangle as "2x" and Sylvia's rectangle as "3x," where "x" represents the amount of money each receives.

Since we know that Sylvia receives $21 one week, we can write the equation:

3x = $21

To find the value of "x," we can divide both sides of the equation by 3:

x = $21 / 3
x = $7

Now we can substitute this value back into the equation for Olivia's allowance:

2x = 2 * $7
2x = $14

Therefore, Olivia receives $14 as her weekly allowance.