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23 Oct 2025, 12:54
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Difficulty:
25%
(medium)
Question Stats:
76% (01:14) correct
23% (01:21) wrong based on 13 sessions
History
Date
Time
Result
Not Attempted Yet
Ann earned a 25% raise to bring her salary to $20,000. Bob received a 20% decrease in salary to bring his salary to $20,000.
Quantity A
The difference between Bob and Ann’s salaries before these changes were made
Quantity B
$9,000
Quantity A
The difference between Bob and Ann’s salaries before these changes were made
Quantity B
$9,000
27 Oct 2025, 09:08
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Official Explanation
If Ann’s original salary was a, then a + 0.25 a = 20,000, so 1.25a = 20,000, and a = 16,000. If Bob’s original salary was b, then 1b – .20b = 20,000, so 0.80b = 20,000, and b = 25,000, after dividing both sides by 0.8. The difference in their original salaries was 25,000 – 16,000 = 9,000, (C).
Answer: C
If Ann’s original salary was a, then a + 0.25 a = 20,000, so 1.25a = 20,000, and a = 16,000. If Bob’s original salary was b, then 1b – .20b = 20,000, so 0.80b = 20,000, and b = 25,000, after dividing both sides by 0.8. The difference in their original salaries was 25,000 – 16,000 = 9,000, (C).
Answer: C
