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Waiter A's compensation for any week is $500 plus 15 percent of the po 14 Aug 2018, 02:34
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25% (medium)

Question Stats:

78% (02:18) correct 22% (02:52) wrong based on 288 sessions

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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
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E
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Waiter A's compensation for any week is $500 plus 15 percent of the po 14 Aug 2018, 02:52
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500 + 0.15(t - 600) = 0.25t
500 + 0.15t - 90 = 0.25t
0.10t = 410
t = 4100 ( E)
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Waiter A's compensation for any week is $500 plus 15 percent of the po 14 Aug 2018, 02:55
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Bunuel
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
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500+0.15(x-600)=0.25x
500+0.15x-90=0.25x
0.10x=410
x=4100
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Waiter A's compensation for any week is $500 plus 15 percent of the po 14 Aug 2018, 03:05
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Bunuel
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
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Let the total weekly receipts be T.
So, Waiter A's compensation = 500 + 15% of (T-600) = 500+.15T-90 = 410-.15T
Waiter B's compensation = .25T

if Both waiters earn same compensation for a week, 410-.15T = .25T
.10T = 410
T = $4100

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Answer A
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Waiter A's compensation for any week is $500 plus 15 percent of the po 14 Aug 2018, 07:25
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Bunuel
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
Show more
500 + 15% ( x - 600 ) = 25% of x

Or, 500 + 0.15x - 90 = 0.25x

Or, 0.10x = 410

So, x = 4100, Answer must be (E) 4100
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Waiter A's compensation for any week is $500 plus 15 percent of the po 26 Aug 2018, 18:32
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Bunuel
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
Show more

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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Waiter A's compensation for any week is $500 plus 15 percent of the po 06 Aug 2023, 11:27
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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?

Given, Compensation of A = A = 500+15%*(P-600) where P = total receipts for that week
Compensation of B = B = 25%*(P) where P = total receipts for that week

For both waiters earn the same compensation,
=> A=B
=> 500+15%*(P-600)= 25%*(P)
=> 500-90=10%*P
=> 410=10%*P
=> P=4100

Hence E
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Waiter A's compensation for any week is $500 plus 15 percent of the po 01 Aug 2026, 13:27
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