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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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  1. 31 July, 17:41
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    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
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