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 six months of the year to the last six months of the year in simplest form?

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we are given

A small company’s net income for the first six months of the year was $76,500

Let's assume net income for first six month as X

so,

[tex] X=76500 [/tex]

and we have

A small company’s net income for the last six months of the year was $100,000

Let's assume net income for last six month as Y

so, we get

[tex] Y=100000 [/tex]

now, we have to find the ratio of the first six months of the year to the last six months of the year in simplest form

so, we need to find

[tex] =\frac{X}{Y} [/tex]

we can plug values of X and Y

[tex] =\frac{76500}{100000} [/tex]

We can cancel last two zeros

[tex] =\frac{765}{1000} [/tex]

we can factor top term

[tex] =\frac{765}{1000} [/tex]

[tex] =\frac{5*153}{5*200} [/tex]

now, we can cancel 5

[tex] =\frac{153}{200} [/tex]

It can not be simplified further

so,

[tex] \frac{X}{Y}=\frac{153}{200} [/tex].............Answer

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