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

Ticket Taker Tony collects more tickets per minute.

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:
`(90 tickets)/(5 minutes)` =
`(18 tickets)/(1 minute)`

Ticket Taker Tina:
`(128 tickets)/(8 minutes)` =
`(16 tickets)/(1 minute)`

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