Algebra 1 Question

Question

Employees of a furniture manufacturing company spend no more than 125 hours each day building a combination of tables and chairs.

1. It takes 5 hours to build a table and 2 hours to build a chair.
2. The employees must build a combined total of at least 32 tables and chairs each day.

If t represents the number of tables built in a day, and h represents the number of chairs built in a day, which system of inequalities represents the scenario?

A. 5t+2h ≥ 32

t+h ≥ 125

B. 5t+2h ≤ 32

t+h ≥ 125

C. 5t+2h ≥ 125

t+h ≥ 32

D. 5t+2h ≤ 125

t+h ≥ 32

Answer 1

The first expression can be in terms of hours. For t tables, total time is 5t hours and for h chairs, the total time is 2h hours. This total time for both items has to be maximum 125 hours.

Therefore,

5t+2h ≤ 125

Similary,

Total numbers of tables and chairs is at least 32.

Therefore,

t+h ≥ 32



The correct choice is D.