Question

PLEASE ANSWER ASAP AND PROVIDE EXPLANATION!

A copy machine is set up to enlarge an original in the ratio 2:3.

What is this enlargement in percent?

Answer 1

The enlarged object would be 150% larger, but the enlargement itself makes the new picture 50% larger than before as the previous size was already considered 100%.

Explanation:

It is much easier to picture this with nice numbers.

Let's say you start with a paper that is size 100 (these numbers have no real meaning they are just for illustrating a point), this would be the 2 in the ratio so the equality would look like:
`(2)/(3)`=
`(100)/(x)`. At this point you can cross multiply and divide, getting 2x=300. By dividing by 2, you get x=150.

Now percents are out of 100, and you have one of those, only right now it is on the top. All you have to do is flip the fraction, you get
`(150)/(100)`=150% is how much it was enlarged when compared to the original, it got 1.5 times larger (you can flip the fraction because you are looking to see how much bigger it got in relation to the starting size).

However, if you are looking for only the enlargement as a percent of the total the answer would be 50% since the new size 150 is 50 larger than 100 and
`(50)/(100)`=50%.

Answer 2

It should be about 67%.

Explanation:

The ratio 2:3 is the same as the fraction 2/3.

2 divided by 3 is equal to 0.66666...

When it is rounded to the hundredths place, it is 0.67.

This means that the percentage is 67%.