Three quarters of a number added to two and a half of the number gives...
MATHEMATICS
WAEC 2014
Three quarters of a number added to two and a half of the number gives 13. Find the number
- A. 4
- B. 5
- C. 6
- D. 7
Correct Answer: A. 4
Explanation
let the number be x
2\(\frac{1}{2}x + \frac{3}{4}x = 13\)
\(\frac{5}{2}x + \frac{3}{4}x = 13\)
multiply through by 4
4(\(\frac{5}{2}\))x + 4(\(\frac{3}{4}\))x = 13 x 4
2(5x) + 3x = 52
10x + 3x = 52
13x = 52
x = \(\frac{52}{13}\)
x = 4
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