Question

a restaurant has 30 tables in its dining room. it takes a waiter 10 minutes to set 8 tables. at this rate, how long will it take the waiter to set all the tables in the dining room? use equivalent ratios to find an estimate. start by finding how long will it take to set 16 tables. | minutes | tables | | 10 | 8 | |? | 30 | | □ | 16 |

Explanation:

Step1: Find time for 16 tables

Since 16 is 2 times 8, the time will be 2 times 10 minutes.
$10\times2 = 20$ minutes.

Step2: Find time for 30 tables

First, find the time per table. The rate is 10 minutes for 8 tables, so time per table is $\frac{10}{8}$ minutes per table.
For 30 tables, time = $\frac{10}{8}\times30=\frac{300}{8} = 37.5$ minutes.

Answer:

Time for 16 tables: 20 minutes. Time for 30 tables: 37.5 minutes.