Question

The factory needs to make 54 tables each day. The number of dining tables, d, made per day should be equal to the number of coffee tables, c, and end tables, e, combined. The number of coffee tables made each day should be three more than the number of end tables. Which system of equations can be used to find the number of tables of each type the factory should make each day?

Answer 1

We can set up a system of equations to find the number of tables of each type the factory should make each day.

Step-by-step explanation:

We can set up a system of equations to find the number of tables of each type the factory should make each day.

Let d represent the number of dining tables made each day.

Let c represent the number of coffee tables made each day.

Let e represent the number of end tables made each day.

According to the problem, d = c + e.

Also, c = e + 3.

Therefore, the system of equations would be:

d = c + e

c = e + 3

We can now solve this system of equations to find the values of d, c, and e.