Question

1-116 1.2.6

Mario was visiting the carnival when he noticed a few number relationships. He made them into brain teasers for you.

A. If three tenths of the visitors were adults and there were 100 visitors, how many visitors were adults?


B. Five eighths of the prizes at the giant spin were dolls. If there were 64 prizes, how many prizes were not dolls?

Answer 1

A. 30 adults; B. 24 not dolls

Explanation:

A.

`\begin{array}{rcl}\text{No. of adults} & = & \text{No. of visitors} * \text{Fraction who are adults}\\& = & \text{100 visitors} * \frac{\text{3 adults}}{\text{10 visitors}} \\& = & \textbf{30 adults}\\\end{array}`

B.

If five-eighths of the prizes were dolls, then three-eighths of the prizes were not dolls.

`\begin{array}{rcl}\text{No. not dolls} & = & \text{No. of prizes} * \text{Fraction not dolls}\\& = & \text{64 prizes} * \frac{\text{3 not dolls}}{\text{8 prizes}} \\& = & \textbf{24 not dolls}\\\end{array}`