Directions: Solve each problem, using scratch paper if necessary. Then decide which is the best of the choices given and select the corresponding option button.

Model [tex]$A$[/tex] of a machine produces 300 parts per hour and model [tex]$B$[/tex] produces 450 parts per hour. If a company has 3 model [tex]$A$[/tex] machines and 1 model [tex]$B$[/tex] machine, how many parts can the company produce in one hour?

A. 750
B. 900
C. 1,350
D. 1,050



Answer :

Let's solve the problem step-by-step:

1. Determine the production rate of each machine:
- Model A produces 300 parts per hour.
- Model B produces 450 parts per hour.

2. Find out how many of each machine the company has:
- The company has 3 Model A machines.
- The company has 1 Model B machine.

3. Calculate the total number of parts produced by all Model A machines in one hour:
- Each Model A machine produces 300 parts per hour.
- With 3 Model A machines, the total production is:
[tex]\[ 300 \, \text{parts/hour} \times 3 \, \text{machines} = 900 \, \text{parts/hour} \][/tex]

4. Calculate the total number of parts produced by the Model B machine in one hour:
- The Model B machine produces 450 parts per hour.
- With 1 Model B machine, the total production is:
[tex]\[ 450 \, \text{parts/hour} \times 1 \, \text{machine} = 450 \, \text{parts/hour} \][/tex]

5. Add the total parts produced by Model A machines and Model B machine to get the company's total production in one hour:
[tex]\[ 900 \, \text{parts/hour} + 450 \, \text{parts/hour} = 1350 \, \text{parts/hour} \][/tex]

Therefore, the company can produce 1,350 parts in one hour. The correct answer is:

1,350