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20 May 2026, 21:08
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
71% (02:47) correct
29%
(03:07)
wrong
based on 14
sessions
History
Date
Time
Result
Not Attempted Yet
Evangelia bought a blouse originally priced at $60 for $42, and she also bought a pair of jeans. The average discount on the two items was 50%. If she had bought another identical pair of jeans, the average discount on all three items would have been 54%. How much did Evangelia save on the jeans?
A. $48
B. $72
C. $90
D. $96
E. $144
A. $48
B. $72
C. $90
D. $96
E. $144
20 May 2026, 22:17
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Evangelia bought a blouse originally priced at $60 for $42, and she also bought a pair of jeans. The average discount on the two items was 50%. If she had bought another identical pair of jeans, the average discount on all three items would have been 54%. How much did Evangelia save on the jeans?
Let the original price of a pair of jeans be p.
Let the amount by which the price of a pair of jeans is discounted be d.
First scenario, one blouse and one pair of jeans:
42 + (p - d) = 0.5(60 + p)
Second scenario, one blouse and two pairs of jeans:
42 + 2(p - d) = 0.46(60 + 2p)
Solve the system of equations to find the value of p:
84 + 2p - 2d = 60 + p (first equation multiplied by 2)
42 + 2p - 2d = 0.46(60) + 0.92p
42 = 0.54(60) + 0.08p (result of subtracting the second from twice the first)
9.6 = 0.08p
p = 120
Answer the question asked:
42 + (p - d) = 0.5(60 + p)
42 + (120 - d) = 0.5(60 + 120)
162 - d = 90
72 = d
A. $48
B. $72
C. $90
D. $96
E. $144
Correct answer: B
Let the original price of a pair of jeans be p.
Let the amount by which the price of a pair of jeans is discounted be d.
First scenario, one blouse and one pair of jeans:
42 + (p - d) = 0.5(60 + p)
Second scenario, one blouse and two pairs of jeans:
42 + 2(p - d) = 0.46(60 + 2p)
Solve the system of equations to find the value of p:
84 + 2p - 2d = 60 + p (first equation multiplied by 2)
42 + 2p - 2d = 0.46(60) + 0.92p
42 = 0.54(60) + 0.08p (result of subtracting the second from twice the first)
9.6 = 0.08p
p = 120
Answer the question asked:
42 + (p - d) = 0.5(60 + p)
42 + (120 - d) = 0.5(60 + 120)
162 - d = 90
72 = d
A. $48
B. $72
C. $90
D. $96
E. $144
Correct answer: B
21 May 2026, 00:31
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Marty’s solution is excellent. Mine is different because I like to call the answer to the question a variable.
kevincan
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