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# Waiter A's compensation for any week is \$500 plus 15 percent of the po

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Math Expert
Joined: 02 Sep 2009
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Waiter A's compensation for any week is \$500 plus 15 percent of the po  [#permalink]

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14 Aug 2018, 02:34
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Difficulty:

35% (medium)

Question Stats:

76% (02:13) correct 24% (02:38) wrong based on 62 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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Re: Waiter A's compensation for any week is \$500 plus 15 percent of the po  [#permalink]

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14 Aug 2018, 02:52
1
500 + 0.15(t - 600) = 0.25t
500 + 0.15t - 90 = 0.25t
0.10t = 410
t = 4100 ( E)
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Re: Waiter A's compensation for any week is \$500 plus 15 percent of the po  [#permalink]

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14 Aug 2018, 02:55
1
Bunuel 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

500+0.15(x-600)=0.25x
500+0.15x-90=0.25x
0.10x=410
x=4100
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Re: Waiter A's compensation for any week is \$500 plus 15 percent of the po  [#permalink]

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14 Aug 2018, 03:05
Bunuel 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 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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Re: Waiter A's compensation for any week is \$500 plus 15 percent of the po  [#permalink]

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14 Aug 2018, 07:25
1
Bunuel 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

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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Re: Waiter A's compensation for any week is \$500 plus 15 percent of the po  [#permalink]

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22 Aug 2018, 08:15
1

How is everyone taking the Weekly revenues of both A&B to be the same when the question is talking about the scenario where their compensations are to be equal, which would only be a portion of the revenues that they both bring in?

Is the phrasing of the question confusing or am I missing something here?
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Re: Waiter A's compensation for any week is \$500 plus 15 percent of the po  [#permalink]

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26 Aug 2018, 18:32
Bunuel 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

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Re: Waiter A's compensation for any week is \$500 plus 15 percent of the po   [#permalink] 26 Aug 2018, 18:32
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