Question

A copy machine makes 114 copies in 4 minutes and 45 seconds. How many copies does it make per minute?

Answer 1

Machine can make 114 copies in 4 minutes and 45 seconds. So first convert 45 seconds into minutes. We will use ratio and proportion for that using 1 minute = 60 seconds. So let say X minutes = 45 seconds.

`(1 minute)/(60 seconds) = (X minutes)/(45 seconds)`

solve for X as shown

`(1)/(60) * 45 = (X)/(45) * 45`

`(45)/(60)` = X

0.75 = X

So 45 seconds =0.75 minutes

So it takes 4 minutes +0.75 minutes = 4.75 minutes for machine to make 114 copies. We have to find copies made in 1 minute. So lets say it makes C copies in 1 minute. Again we will use ratio and proportion

`(114 copies)/(4.75 minutes)` =
`(C copies)/(1 minute)`

Now solve for C as shown

`(114)/(4.75)` =
`(C)/(1)`

24 = C

So machine can make 24 copies in 1 minute. So thats the final answer.