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27 Sep 2018, 05:33
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
75% (01:47) correct
25%
(01:50)
wrong
based on 57
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 $195,000 in royalties, how many copies of his book were sold?
(A) 100,000
(B) 120,000
(C) 140,000
(D) 150,000
(E) 200,000
(A) 100,000
(B) 120,000
(C) 140,000
(D) 150,000
(E) 200,000
27 Sep 2018, 07:17
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1.5 = 3/2
1.2 = 6/5
Algebraically can be solved like this
195,000 = 50,000 * 3/2 + (x - 50,000) * 6/5
120,000 = (6/5)*x - 60,000
180,000 = (6/5)x
30,000 = (1/5)x = 150,000
Another way to solve this is backsolving
If we pick C 140,000 we take 50,000 copies out
We already have 75,000$ from the 50,000 copies but we need the remaining 120,000$
Remaining books royalities = 90,000 * (6/5) = 108,000 not enough.
So answer choice D
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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.
So answer choice D
Posted from my mobile device
28 Sep 2018, 00:28
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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
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
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