lheiannie07 wrote:The combined salaries of three brothers is $90,000. Mr. Big earns twice what Mr. Small earns, and Mr. Middle earns 1 1/2 times what Mr. Small earns. What is the smallest salary of the three brothers?
(A) 20,000
(B) 22,000
(C) 25,000
(D) 30,000
(E) 40,000
We can PLUG IN THE ANSWERS, which represent Mr. Small's salary.
When the correct answer is plugged in, the 3 salaries will sum to 90,000.
B: Mr. Small = 22,000
Since Mr. Big earns twice what Mr. Small earns, Mr. Big = 2 * 22,000 = 44000.
Since Mr. Middle earns 1 1/2 times what Mr. Small earns, Mr. Middle = (3/2)(22,000) = 33,000.
Sum of the 3 salaries = 22,000 + 44,000 + 33,000 = 99,000.
Since the sum is TOO GREAT, Mr. Small's salary must be LESS than 22,000.
The correct answer is
A.
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