6. A factory has two types of machines.
• The factory has 6 cutting machines and 4 stamping machines.
• Each cutting machine cuts 105 parts every 3 minutes.
• Each stamping machine stamps 24 parts every 20 seconds.
Part A
How many parts can all 6 cutting machines cut in 1 minute?
A. 105 parts
B. 140 parts
C. 210 parts
D. 315 parts

210 pieces

Step-by-step explanation:

First, you need to figure out how many pieces a single machine can cut in a minute, so you need to divide 105 by 3, which gets you 35 pieces per minute.

Next, since we know there are 6 machines, and one machine canncut 35 pieces per minute, we can the figure out how many pieces all 6 cutting machines can cut in 1 minute. You would do this by making an equation such as this:

[tex]35 \times 6 = x[/tex]

The x represents the total number of pieces cut by all 6 machines in one minute.

Next, since we now have an equation, we can go ahead and solve it. We would multiply 35 by 6, which would get us 210 pieces per minute that can be cut by all six machines

Answer: c. 210

Step-by-step explanation:

105 parts divided by 3 minutes equals 35 parts every minute times 6 (number of machines) equals 210 parts are cut every minute at the factor.

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