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? first fill in the information you know and what you need to figure out from the problem.
minutes\ttables
□\t□
□\t□
? 30 8 10

Explanation:

Step1: Fill in known values

First row (known rate): Minutes = $10$, Tables = $8$
Second row (unknown time): Minutes = $?$, Tables = $30$

Step2: Set up proportional equation

Let $x$ = time for 30 tables.
$$\frac{10}{8} = \frac{x}{30}$$

Step3: Solve for $x$

Cross-multiply: $8x = 10 \times 30$
Calculate right-hand side: $8x = 300$
Isolate $x$: $x = \frac{300}{8} = 37.5$

Answer:

Filled table:

Minutes	Tables
37.5	30

Time to set all tables: 37.5 minutes