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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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