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

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Joined: 07 Jun 2018
Posts: 42
Forty customers bought clothing from a certain store. If pants cost $7  [#permalink]

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New post 25 Dec 2018, 13:17
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B
C
D
E

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Question Stats:

82% (01:54) correct 18% (02:02) wrong based on 22 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
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Re: Forty customers bought clothing from a certain store. If pants cost $7  [#permalink]

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New post 25 Dec 2018, 13:35
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
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Forty customers bought clothing from a certain store. If pants cost $7  [#permalink]

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New post 25 Dec 2018, 22:59
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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Posts: 2438
Re: Forty customers bought clothing from a certain store. If pants cost $7  [#permalink]

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New post 26 Dec 2018, 09:31

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.

Answer: C

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Re: Forty customers bought clothing from a certain store. If pants cost $7 &nbs [#permalink] 26 Dec 2018, 09:31
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Forty customers bought clothing from a certain store. If pants cost $7

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