# The amount of $ 1180 is divided among X, Y and Z in such a way that 5 times of the amount that X receives, 6 times of the amount that Y receives and 8 times of the amount that Z receives are one and the same. Find the amount received by each of the X, Y and Z.

The amount of $ 1180 is divided among X, Y and Z in such a way that 5 times of the amount that X receives, 6 times of the amount that Y receives and 8 times of the amount that Z receives are one and the same. Find the amount received by each of the X, Y and Z.

a. X = $ 480, Y = $ 400, Z = $ 300

b. X = $ 450, Y = $ 430, Z = $ 300

c. X = $ 300, Y = $ 480, Z = $ 400

d. X = $ 480, Y = $ 300, Z = $ 400

e. None of the above

**Your Correct answer: a**

Explanation:

Let the amount received by X, Y and Z be equal to x, y and z respectively.

∴ According to the question, 5x = 6x = 8x ………….i

Because it is given that 5 times of the amount that X receives, 6 times of the amount

that Y receives and 8 times of the amount that Z receives are one and the same.

The total amount = $ 1180

∴ We can say that, x + y + z = 1180 …………..ii

Using equation I and ii we can say that,

(x/24) + (y/20) + (z/15) = 1180/59

∴ x = $ 480

Y = $ 400

And z = $ 300

Hence, the correct answer is option a.

Thanks.

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