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
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #36937)