Question

Xavier, Yolanda and Sara shared some money. Yolanda received 40% more money than Xavier, and Zara received 60% of Yolanda's share. If Sara received $1,176, what was the sum of the money.

Answer 1

To find the sum of the money, determine the amount of money Yolanda received using the information that she received 40% more money than Xavier. Then determine the amount of money Zara received using the information that she received 60% of Yolanda's share. Use the given information to solve for the value of $x and calculate the sum of the money.

Step-by-step explanation:

To find the sum of the money, we can start by determining the amount of money Yolanda received, using the information that she received 40% more money than Xavier. Let's assume that Xavier received $x. Yolanda would then receive $x + 40% of $x, or $1.4x.

Next, we can determine the amount of money Zara received, using the information that she received 60% of Yolanda's share. Zara would then receive 60% of $1.4x, or 0.6 * $1.4x.

Given that Zara received $1,176, we can solve the equation 0.6 * $1.4x = $1,176 to find the value of $x. Once we have the value of $x, we can calculate the sum of the money by adding the amounts received by Xavier, Yolanda, and Zara.