Question

A small company's net income for the first six months of the year was $76,500 and for the last six months it was $100,000 what is the ratio of the first 6 months of the year to the last six months of the year in simplest form

Answer 1

The ratio is 153/200 or we can write as 153:200

Explanation:

We have been given that the income for 1st 6 months slot was = $76500

And income for last 6 months slot was = $100000

We have been asked about the ratio of the first 6 months of the year to the last six months, this can be written as =
`(76500)/(100000)`

Now, omitting the zeros, we get
`(765)/(1000)`

Now dividing both terms by 5 we get,
`(153)/(200)`

So, the ratio is
`(153)/(200)` or 153:200 (this is the simplest form)

Answer 2

The correct answer is:

153/200.

Explanation:

The amount for the first 6 months is 76500 and the amount for the last 6 months is 100000. This makes the ratio 76500/100000.

Both of these end with two 0's; this means they are both divisible by 100. 76500/100 = 765 and 100000/100 = 1000; this makes the ratio 765/1000.

Since these end with a 5 or a 0, they are divisible by 5; 765/5 = 153 and 1000/5 = 200; this makes the ratio 153/200.

153 is only divisible by 3 or 9; 153/3 = 51 and 153/9 = 17. None of these will divide evenly into 200, so we stop at 153/200.