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An author received $0.80 in royalties for each of the first 100,000 co

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Ryerson (Ted Rogers) Thread Master
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An author received $0.80 in royalties for each of the first 100,000 co [#permalink]

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New post 20 Dec 2015, 03:13
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A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

64% (00:58) correct 36% (01:23) wrong based on 128 sessions

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An author received $0.80 in royalties for each of the first 100,000 copies of her book sold, and $0.60 in royalties for each additional copy sold. If she received a total of $260,000 in royalties, how many copies of her book were sold?

(A) 130,000
(B) 300,000
(C) 380,000
(D) 400,000
(E) 420,000

My Solution:

Lets assume total number of books sold = N

0.8 * 100,000 + (N-100,000) 6/10 = 260,000
(N-100,000) 6/10 = 260,000-80,000 = 180,000

Plugin answers:

I prefer to start with C, but B and D are easy to calculate. I pick D to start with.

(400,000 - 100, 000) 6/10= 300,000 * 6/10 = 180,000 Match with LHS to RHS.

Answer D is correct.

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Re: An author received $0.80 in royalties for each of the first 100,000 co [#permalink]

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New post 20 Dec 2015, 03:35
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Rsohal wrote:
An author received $0.80 in royalties for each of the first 100,000 copies of her book sold, and $0.60 in royalties for each additional copy sold. If she received a total of $260,000 in royalties, how many copies of her book were sold?

(A) 130,000
(B) 300,000
(C) 380,000
(D) 400,000
(E) 420,000

My Solution:

Lets assume total number of books sold = N

0.8 * 100,000 + (N-100,000) 6/10 = 260,000
(N-100,000) 6/10 = 260,000-80,000 = 180,000

Plugin answers:

I prefer to start with C, but B and D are easy to calculate. I pick D to start with.

(400,000 - 100, 000) 6/10= 300,000 * 6/10 = 180,000 Match with LHS to RHS.

Answer D is correct.


\(0.8*10^5+0.6*(x-10^5)=260000\)
\(10^5*0.2+0.6x=260000\)
\(x=400000\)
Answer D
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Re: An author received $0.80 in royalties for each of the first 100,000 co [#permalink]

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New post 20 Dec 2015, 04:04
2
Rsohal wrote:
An author received $0.80 in royalties for each of the first 100,000 copies of her book sold, and $0.60 in royalties for each additional copy sold. If she received a total of $260,000 in royalties, how many copies of her book were sold?

(A) 130,000
(B) 300,000
(C) 380,000
(D) 400,000
(E) 420,000



Total royalties for first 100.000 books = .8*100,000= 80,000
Total royalties for the rest of the books = 260,000-80,000 = 180,000

Remaining books = 180,000/0.6 = 300,000

Total books = 300,000+100,000 = 400,000 Answer D
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Re: An author received $0.80 in royalties for each of the first 100,000 co [#permalink]

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New post 21 Jan 2018, 19:53
RSOHAL wrote:
An author received $0.80 in royalties for each of the first 100,000 copies of her book sold, and $0.60 in royalties for each additional copy sold. If she received a total of $260,000 in royalties, how many copies of her book were sold?

(A) 130,000
(B) 300,000
(C) 380,000
(D) 400,000
(E) 420,000


If we let n = the total number of copies sold, then (n - 100,000) is the number of additional copies (those in excess of 100,000) sold, and we can create the equation:

260,000 = 0.8 x 100,000 + 0.6(n - 100,000)

260,000 = 80,000 + 0.6n - 60,000

240,000 = 0.6n

400,000 = n

Answer: D
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Re: An author received $0.80 in royalties for each of the first 100,000 co   [#permalink] 21 Jan 2018, 19:53
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An author received $0.80 in royalties for each of the first 100,000 co

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