Question

Anson, Brian and Caleb shared $ 9450. Anson received $ 264 more than Brian. Brian received $ 387 more than Caleb. Find the amount recieved by Caleb.

Answer 1

Answer:

$\huge {\mathtt {\boxed {\red {Given:}}}}$

Anson, Brian and Caleb shared $ 9450. Anson received $ 264 more than Brian. Brian received $ 387 more than Caleb.

$\huge {\mathtt {\boxed {\green {Solution:}}}}$

Let the amount received by Caleb be x

Therefore, ATQ

Brian received $387 + x; and

Anson received $264 + $387 + x

= $651 + x

Hence, ATQ

$387 + x + 651 + x + x = 9450\\= 1038 + 3x = 9450\\= 3x = 9450 = 1038\\ = 8412\\= x = \large {\frac{8412}{3}}\\= x = 2804$

Hence, Caleb received = x

= $2804 (Ans)

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