Question

problem 6b
number of tables, t | number of chairs, c
1 | 95
8 | 60
20 | 0
a truck delivers tables and chairs for a fair. the truck can carry 1000 pounds total.

• tables weigh 50 pounds each.
• chairs weigh 10 pounds each.

here is your table from the previous screen.
write an equation that represents the number of tables, t, and the number of chairs, c, that the truck can carry.

Explanation:

Step1: Determine weight contribution of tables

Each table weighs 50 pounds, so for \( t \) tables, the total weight is \( 50t \) pounds.

Step2: Determine weight contribution of chairs

Each chair weighs 10 pounds, so for \( c \) chairs, the total weight is \( 10c \) pounds.

Step3: Set up the equation for total weight

The truck can carry 1000 pounds total. So the sum of the weight of tables and chairs should equal 1000. Thus, the equation is \( 50t + 10c = 1000 \).

Answer:

\( 50t + 10c = 1000 \)