Question

Ticket Taker Tony collects 90 tickets in 5 minutes. Ticket Taker Tina collects 128 tickets in 8 minutes. Which ticket taker collects more tickets per minute?

Answer 1

Answer:

Ticket Taker Tony collects more tickets per minute.

Step-by-step explanation:

In order to find out which ticket taker collects more tickets per minute, you need to solve for how many tickets each Ticket Taker collects per minute to compare.  Since 90:5 and 128:8 are different ratios, you need to find the unit rate, or how many tickets each collects per minute.  To find unit rate, you divide the numerator by the denominator:

Ticket Taker Tony:  $\frac{90 tickets}{5 minutes}$ = $\frac{18 tickets}{1 minute}$

Ticket Taker Tina:  $\frac{128 tickets}{8 minutes}$ = $\frac{16 tickets}{1 minute}$

Every minute, Tony collects 18 tickets, while Tina only collects 16, so Ticket Taker Tony collects more.