5. April, May and June have 90 sweets between them. May has three-quarters of the number of sweets that June has. April has two-thirds of the number of sweets that May has. How many sweets does June have?
A 60
B 52
C 48
D 40
E 36
5. D Let June have $x$ sweets. Then May has $\frac{3 x}{4}$ sweets. Also, April has $\frac{2}{3} \times \frac{3 x}{4}$, that is $\frac{x}{2}$, sweets. Therefore $x+\frac{3 x}{4}+\frac{x}{2}=90$. So $\frac{9 x}{4}=90$. Hence $x=\frac{4}{9} \times 90=40$.