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29 Jan 2024, 11:11
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
73% (02:35) correct
27%
(02:48)
wrong
based on 773
sessions
History
Date
Time
Result
Not Attempted Yet
At the opening of business yesterday, there were 10 cereal boxes weighing 20 ounces each and 20 cereal boxes weighing 15 ounces each on a certain grocery store shelf. If 18 of the boxes on that shelf were sold yesterday and the total weight of the unsold boxes was 220 ounces, then the number of sold boxes weighing 15 ounces was
A. 2
B. 4
C. 8
D. 12
E. 16
2024-01-29_22-01-36.png [ 55.66 KiB | Viewed 9903 times ]
A. 2
B. 4
C. 8
D. 12
E. 16
Attachment:
2024-01-29_22-01-36.png [ 55.66 KiB | Viewed 9903 times ]
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29 Jan 2024, 11:14
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guddo
Initially, there were 10 + 20 = 30 boxes, weighing 10*20 + 20*15 = 500 ounces.
Since the total weight of the unsold boxes was 220 ounces, the total weight of the 18 sold boxes was 500 - 220 = 280 ounces.
Hence, assuming the number of sold boxes weighing 15 ounces was x, the number of sold boxes weighing 20 ounces would be 18 - x. Thus, we'd have:
- 15x + 20(18 - x) = 280
x = 16
Answer: E.
General Discussion
29 Jan 2024, 23:41
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guddo
Number of boxes unsold = \(30 - 18 = 12\)
Assume
- The number of cereal boxes weighing 20 ounces that were unsold = \(x\)
- The number of cereal boxes weighing 15 ounces that were unsold = \(y\)
\(x + y = 12\) -- (1)
\(20x + 15y = 220\) -- (2)
Multiplying equation (1) by 20 and subtracting (2) from the result
\(20x + 20y = 240\)
\(-20x -15y = -220\)
---------------------------------------------
\(5y = 20\)
\(y = 4\)
Hence, 4 unsold boxes were weighing 15 ounces.
The number of sold boxes weighing 15 ounces = \(20 - 4 - 16\)
Option E
