Divide the shares

Algebra Level 1

$900 is to be divided among A,B, and C so that C will receive twice as much as A and B will receive $100 more than A. How much does B receive in $?

300 100 200 400

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1 solution

Let A be the number of dollars which A recieves, then C receives 2A and B recieves A+100. And

A + (A + 100) + 2A = 900

A + A + 100 + 2A = 900

4A = 800

A = 200

Hence, B receives 200 + 100 = $300

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