32. When shooting at a target, Misha hit the bullseye several times, scored 8 points as many times, and hit the five several times. In total, he scored 99 points. How many shots did Misha take if $6.25\%$ of his shots did not score any points?
32. Let's say Mishka hit the ten and the eight $x$ times each, and the five $y$ times. Then $10 x + 8 x + 5 y = 99$, or $18 x + 5 y = 99$. The term $5 y$ can end in 5 or 0, so $18 x$ must end in 4 or 9. But $18 x$ cannot end in 9, so $18 x$ must end in 4. Since $18 x < 99$, then $x = 3$. We have $18 \cdot 3 + 5 y = 99$, from which $y = 9$. Therefore, the total number of hits was $3 + 3 + 9 = 15$, which is $93.75\%$ of the total number of shots, so the number of shots made is $16\left(\frac{15 \cdot 100}{93.75} = 16\right)$.