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Three quarters of a number added to two and a h... - WAEC Mathematics 2014 Question

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 option: a
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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