Question

Nelson is fixing up office and must spend less than $7,500 to hire carpenters and painters. Carpenters charge $28 per hour and painters charge $32 per hour

Answer 1

Answer:

A.$28x+32y$

B.199 hours

Step-by-step explanation:

Let carpenters work for  x hours and painters work for y hours.

Nelson must spend money <$7500

Carpenters charge per hour=$28

Painters charge per hour=$32

A.We have to write inequalities which represents this situation

According to question

$28x+32y$

B.If hires carpenters work  for total time=40 hours

We have to find the maximum number of hours for which painters can work without exceeding the budget.

Substitute the value in above inequality equation then, we get

$28(40)+32y$

$1120+32y$

Subtracting 1120 on both sides

$32y$

$32y$

Divide by 32 on both sides then we get

$y$

$y$

Hence,painters can work for  maximum 199 hours.