Three quarters of a number added to two and a half of the number gives…

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: Option A
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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