Question

If $4mn+16m^{2}n$ balloons are to be distributed among $4mn$ children, how many balloons does each child get, if $m=2$?

• A. 7
• B. 8
• C. 9
• D. 10

Answer 1

Answer: (C)

9

$4mn+16m^{2}n$ balloons are to be distributed among $4mn$ children.

So, 1 child will get $\frac{4mn+16m^{2}n}{4mn}$ balloons.

$\Rightarrow$ $\frac{4mn+16m^{2}n}{4mn}$ = $\frac{4mn}{4mn}+\frac{16m^{2}n}{4mn}$ = $1+4m$

Now, when $m=2$,

$1+4m$ = $1+4\left(2\right)$ = 9