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02 Mar 2026, 15:04
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
78% (02:50) correct
22%
(03:16)
wrong
based on 23
sessions
History
Date
Time
Result
Not Attempted Yet
Last month, Vance spent 30% of his salary on rent, 40% of the remaining amount on food and transportation, and the remaining $2,400 went to pay down his student loan. For every three dollars he spent on food, he spent two dollars on transportation. How much did Vance spend on transportation last month ?
A. $480
B. $600
C. $640
D. $800
E. $960
A. $480
B. $600
C. $640
D. $800
E. $960
GraemeGmatPanda
Joined: 13 Apr 2020
Last visit: 21 Apr 2026
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02 Mar 2026, 15:30
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We define \(R\) as the amount remaining after paying rent
\(R = \text{amount remaining after rent}\)
We translate "the remaining 2,400 went to pay down his student loan" after spending 40% of \(R\) on food and transportation
\(R - 0.4R = 2400\)
We combine like terms on the left side of the equation
\(R - 0.4R = 0.6R\)
We solve for \(R\) by dividing both sides of the equation by 0.6
\(0.6R = 2400 \Rightarrow R = \frac{2400}{0.6}\)
We calculate \(\frac{2400}{0.6}\) by breaking it into simpler parts
\(\frac{2400}{0.6} = 2400 \times \frac{10}{6}\)
\(= \frac{2400}{6} \times 10\)
\(= 400 \times 10 = 4000\)
We calculate 40% of \(R\) to find the total spent on food and transportation
\(0.4 \times 4000 = 1600\)
We use the ratio of food to transportation spending (3 to 2) to find the transportation share
\(\frac{2}{3+2} \times 1600 = \frac{2}{5} \times 1600 = 640\)
Answer C
Hope this helps!
ʕ•ᴥ•ʔ
\(R = \text{amount remaining after rent}\)
We translate "the remaining 2,400 went to pay down his student loan" after spending 40% of \(R\) on food and transportation
\(R - 0.4R = 2400\)
We combine like terms on the left side of the equation
\(R - 0.4R = 0.6R\)
We solve for \(R\) by dividing both sides of the equation by 0.6
\(0.6R = 2400 \Rightarrow R = \frac{2400}{0.6}\)
We calculate \(\frac{2400}{0.6}\) by breaking it into simpler parts
\(\frac{2400}{0.6} = 2400 \times \frac{10}{6}\)
\(= \frac{2400}{6} \times 10\)
\(= 400 \times 10 = 4000\)
We calculate 40% of \(R\) to find the total spent on food and transportation
\(0.4 \times 4000 = 1600\)
We use the ratio of food to transportation spending (3 to 2) to find the transportation share
\(\frac{2}{3+2} \times 1600 = \frac{2}{5} \times 1600 = 640\)
Answer C
Hope this helps!
ʕ•ᴥ•ʔ
02 Mar 2026, 15:53
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I love your detailed explanations: they are very helpful
