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.

Question

Esperanza Gregory

Mathematics

31 July, 17:15

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.

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Answers (1)

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Asa Holt · Answer 1

Step-by-step explanation:

Xavier, Yolanda and Zara shared some money.

Let x represent Xavier's share

Let y represent Yolanda's share

Let z represent Zara's share.

Yolanda received 40% more money than Xavier. This means that

y = x + 40/100*x = x + 0.4x = 1.4x

Zara received 60% of Yolanda's share. This means that

z = 60/100 * 1.4 = 0.6*1.4 = 0.84x

. If Zara received $1,176, then,

0.84x = 1176

x = 1176/0.84 = 1400

y = 1.4 * 1400 = $1960

z = 0.84 * 1400 = $1176

The sum of the money is

1400 + 1960 + 1176 = $4536