Answer:
Option A
Explanation:
If x is the sum of money, then:
$\left(x \times\frac{8}{3}\right)-\left( x \times\frac{3}{8}\right)=55$
(dividing by 3/8 is the same as multiplying by 8/3)
finding a lowest common denominator of 24 yields:
$\left(\frac{x\times 64}{24}\right)-\left( \frac{x \times 9}{24}\right)=55$
simplify to:
$\left(\frac{x \times 55}{24}\right) = 55$
divide both sides by 55:
x/24 = 1
multiply both sides by 24
x = 24
So, correct answer = $\frac{3}{8}\times 24$
= 9
