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27 Sep 2018, 05:33
00:00

Difficulty:

35% (medium)

Question Stats:

79% (01:48) correct 21% (01:30) wrong based on 37 sessions

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A writer is paid $1.50 per book in royalties for the first 50,000 copies of his book sold, and$1.20 in royalties for each additional copy sold. If he received a total of $195,000 in royalties, how many copies of his book were sold? (A) 100,000 (B) 120,000 (C) 140,000 (D) 150,000 (E) 200,000 _________________ Director Joined: 19 Oct 2013 Posts: 516 Location: Kuwait GPA: 3.2 WE: Engineering (Real Estate) A writer is paid$1.50 per book in royalties for the first 50,000 copi  [#permalink]

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27 Sep 2018, 07:17
1.5 = 3/2
1.2 = 6/5

Algebraically can be solved like this
195,000 = 50,000 * 3/2 + (x - 50,000) * 6/5

120,000 = (6/5)*x - 60,000

180,000 = (6/5)x

30,000 = (1/5)x = 150,000

Another way to solve this is backsolving

If we pick C 140,000 we take 50,000 copies out

We already have 75,000$from the 50,000 copies but we need the remaining 120,000$

Remaining books royalities = 90,000 * (6/5) = 108,000 not enough.

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Re: A writer is paid $1.50 per book in royalties for the first 50,000 copi [#permalink] ### Show Tags 28 Sep 2018, 00:28 For the first 50,000 copies -> he received$1.50*50,000= $75,000 For the remaining copies he received =$195,000- $75,000=$120,000

Number of copies he got $1.20= Total amount/royalty for each book =$120,000/$1.20=100,000 copies 100,000+50,000 = 150,000 copes = Answer D Senior SC Moderator Joined: 22 May 2016 Posts: 3565 A writer is paid$1.50 per book in royalties for the first 50,000 copi  [#permalink]

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28 Sep 2018, 06:28
1
Bunuel wrote:
A writer is paid $1.50 per book in royalties for the first 50,000 copies of his book sold, and$1.20 in royalties for each additional copy sold. If he received a total of $195,000 in royalties, how many copies of his book were sold? (A) 100,000 (B) 120,000 (C) 140,000 (D) 150,000 (E) 200,000 I suspect that solving this question is faster without algebra. Trap answer is A (forgetting to add the first 50,000). Using a running tally should help. Running tally • Batch 1, total royalties earned First $$50,000$$: total royalties at $$1.50$$ each $$(50,000*1.5)=(25,000*3) = 75,000$$ ($$50,000$$ sold) • Batch 2, total royalties $$(195,000-75,000)=120,000$$ • Batch 2, # of copies? Divide royalties by amount per copy $$\frac{120,000}{1.2}=100,000$$ (+ $$100,000$$ sold) • Total # of copies sold $$(50,000 + 100,000) = 150,000$$ copies Answer D Algebra - Given: • Batch 1: first $$50,000, 1.50$$ per copy • Batch 2: after $$50,000$$ copies: $$1.20$$ per copy Let $$x=$$ # of copies sold at $$1.20$$ ea $$(1.5)(50,000)+(1.2)(x)=195,000$$ $$(3)(25,000)+(1.2x)=195,000$$ $$75,000+1.2x=195,000$$ $$1.2x=120,000$$ $$x=\frac{120,000}{1.2}=\frac{1,200,000}{12}=100,000$$ Total # of copies sold: (Batch1) + (Batch2) $$(50,000+100,000)=150,000$$ Answer D _________________ SC Butler has resumed! Get two SC questions to practice, whose links you can find by date, here. Instructions for living a life. Pay attention. Be astonished. Tell about it. -- Mary Oliver VP Joined: 09 Mar 2016 Posts: 1230 Re: A writer is paid$1.50 per book in royalties for the first 50,000 copi  [#permalink]

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28 Sep 2018, 12:54
1
Bunuel wrote:
A writer is paid $1.50 per book in royalties for the first 50,000 copies of his book sold, and$1.20 in royalties for each additional copy sold. If he received a total of $195,000 in royalties, how many copies of his book were sold? (A) 100,000 (B) 120,000 (C) 140,000 (D) 150,000 (E) 200,000 $$195 = 1.5 *50 + 1.2(x-50)$$ $$195 = 75+1.2x-60$$ $$195 = 15+1.2x$$ $$180 = 1.2x$$ $$x = 150$$ today is Friday!!!! international Quant Day ! YAY! hahaha Re: A writer is paid$1.50 per book in royalties for the first 50,000 copi   [#permalink] 28 Sep 2018, 12:54
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