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Forty customers bought clothing from a certain store. If pants cost \$7

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Manager
Joined: 07 Jun 2018
Posts: 52
Location: United States
Forty customers bought clothing from a certain store. If pants cost \$7  [#permalink]

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25 Dec 2018, 14:17
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Difficulty:

25% (medium)

Question Stats:

77% (02:07) correct 23% (01:53) wrong based on 24 sessions

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Forty customers bought clothing from a certain store. If pants cost \$78 each and skirt cost \$62 each and the total revenue from these 40 customers was \$2880, how many customers bought skirts? (Assume 1 customer bought 1 piece of clothing)
a. 25
b. 20
c. 15
d. 10
e. 5
Senior Manager
Status: Manager
Joined: 27 Oct 2018
Posts: 351
Location: Egypt
GPA: 3.67
WE: Pharmaceuticals (Health Care)
Re: Forty customers bought clothing from a certain store. If pants cost \$7  [#permalink]

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25 Dec 2018, 14:35
Jazzmin wrote:
Forty customers bought clothing from a certain store. If pants cost \$78 each and skirt cost \$62 each and the total revenue from these 40 customers was \$2880, how many customers bought skirts? (Assume 1 customer bought 1 piece of clothing)
a. 25
b. 20
c. 15
d. 10
e. 5

let pants sold = p and skirts sold = s.

we can conclude 2 equations from the problem:
78p + 62s = 2880
39p + 31s = 1440 ---------- (1)

p + s = 40
31p + 31s = 1240 ---------- (2)

by subtracting the 2 equations: (1)-(2)
8p = 200, and p = 25
so s = 40 - 25 = 15

C.
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Intern
Joined: 19 Jul 2017
Posts: 7
Forty customers bought clothing from a certain store. If pants cost \$7  [#permalink]

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25 Dec 2018, 23:59
Mahmoudfawzy83 wrote:
Jazzmin wrote:
Forty customers bought clothing from a certain store. If pants cost \$78 each and skirt cost \$62 each and the total revenue from these 40 customers was \$2880, how many customers bought skirts? (Assume 1 customer bought 1 piece of clothing)
a. 25
b. 20
c. 15
d. 10
e. 5

let pants sold = p and skirts sold = s.

we can conclude 2 equations from the problem:
78p + 62s = 2880
39p + 31s = 1440 ---------- (1)

p + s = 40
31p + 31s = 1240 ---------- (2)

by subtracting the 2 equations: (1)-(2)
8p = 200, and p = 25
so s = 40 - 25 = 15

C.
hey how did you get the 2nd equation.
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Joined: 04 Jan 2015
Posts: 2888
Re: Forty customers bought clothing from a certain store. If pants cost \$7  [#permalink]

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26 Dec 2018, 10:31

Solution

Given:
• Cost of a pant = \$78
• Cost of a skirt = \$62
• Total customers = 40
• Each customer bought 1 piece of clothing
• Total revenue generated = \$2880

To find:
• The number of customers who bought skirts

Approach and Working:
Let us assume that n customers bought skirts.
Hence, there should be (40 – n) customers who bought pants.

Therefore, we can write
• 62 x n + 78 (40 – n) = 2880
Or, 62n + 3120 – 78n = 2880
Or, 16n = 240
Or, n = 15

Hence, the correct answer is option C.

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Re: Forty customers bought clothing from a certain store. If pants cost \$7   [#permalink] 26 Dec 2018, 10:31
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