Carcass wrote:

Waiter A's compensation for any week is $500 plus 15 percent of the portion of A's total receipts above $600 for that week. Waiter B's compensation for any week is 25 percent of B's total receipts for that week. For what amount of total weekly receipts would both waiters earn the same compensation?

A.$12,200

B.$10,600

C. $8,900

D. $6,300

E. $4,100

Let x = the amount of the weekly receipts. We can create the equation:

Waiter A’s compensation = Waiter B’s compensation

500 + 0.15(x - 600) = 0.25x

500 + 0.15x - 90 = 0.25x

410 = 0.1x

4,100 = x

Answer: E

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