Best friend, Olivia, and sylvia both get a weekly allowance Olivia, and sylvia allowance are in the ratio of 2 : 3 if Sylvia gets 21 one week, how much did Olivia get? Use a tape diagram to help organize your thinking

Answer 1

To use a tape diagram, we can separate the diagram into two parts, each representing Olivia's and Sylvia's allowances respectively.

Let's represent Olivia's allowance as 2x and Sylvia's allowance as 3x, where x is a common factor.

Since Sylvia received $21, we can set up the equation:
3x = 21

To find the value of x, we divide both sides of the equation by 3:
x = 7

Now, we can substitute this value back into the equation to find Olivia's allowance:
2x = 2 * 7 = 14

Therefore, Olivia received $14.