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Andys income comes from his wages and from tips. For a particular mon

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Andys income comes from his wages and from tips. For a particular mon [#permalink] New post   05 Dec 2023, 04:40
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Andy’s income comes from his wages and from tips. For a particular month, if Andy’s wages was between 150 percent and 166.67 percent, inclusive, of the amount of tips, what percent of his income could have come from tips?

Indicate all possible percent values.

(A) 25%
(B) 33%
(C) 38%
(D) 39%
(E) 42%


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C,D
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Andys income comes from his wages and from tips. For a particular mon [#permalink] New post   21 Jan 2024, 22:12
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Let w = his wages and t = his tips. Combined, they make up 100% of his total income.

w + t = 100%

If his wages were 150% of the amount of tips, w = 1.5t
1.5t + t = 100%
2.5t = 100%
t = 40%

If his wages were 166.67% of the amount of tips, w = 1.6667t
1.6667t + t = 100%
2.6667t = 100%
t = 37.50%

Since the given percentages are inclusive, 37.50% ≤ t ≤ 40%
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gmatclubot
Andys income comes from his wages and from tips. For a particular mon [#permalink]
21 Jan 2024, 22:12
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