Mathematics: Afactory 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 part b the factory needs to stamp 4,320 parts. how many minutes will it take for all 4 stamping machines to stamp 4,320 parts? a.10 minutes b. 15 minutes c. 45 minutes d. 60 minutes

Afactory has two types of machines. •the factory has

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06.01.2022

Part A) Option C/ 210 parts

Part B) Option B. 15 minutes

Step-by-step explanation:

Part A) we know that

•Each cutting machine cuts 105 parts every 3 minutes

6 cutting machine cuts (105*6=630) parts every 3 minutes

using proportion

$\frac{630}{3}\frac{parts}{min}=\frac{x}{1}\frac{parts}{min}\\ \\x= 210\ parts$

Part B) we know that

Each stamping machine stamps 24 parts every 20 seconds

4 stamping machine stamps (24*4=96) parts every 20 seconds

using proportion

$\frac{20}{96}\frac{sec}{parts}=\frac{x}{4,320}\frac{sec}{parts} \\ \\x=4,320*20/96\\ \\x=900\ sec$

Convert to minutes

$900/60=15\ min$

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