fran and winston have a combined income of $80000. one quarter of winstons income is equal to one sixth of fans income. how much does each person make?

## word problem / fractions

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# 3 Answers

One quarter of Winston's income is one sixth of Fans income.

This means that Winstons income is 4/6 of Fan's income or 2/3 of Fan's income, so the total income is 1 and 2/3 of Fan's income and is equal to 80000 dollars.

so Fan's income is 80000/(1 and 2/3) = $48,000, and Winston's income is 2/3 of that, or $32,000.

Hi Jaden;

*fran and winston have a combined income of $80000. one quarter of winstons income is equal to one sixth of fans income. how much does each person make?*

(1/4)W=(1/6)F

(6/4)W=F

(3/2)W=F

[(3/2)W]+W=80,000

Let's note the fact that W=1w=(2/2)(W)

[(3/2)W]+[(2/2)W]=80,000

Let's combine like terms...

(5/2)(W)=80,000

Let's multiply both sides by 2/5...

(2/5)(5/2)(W)=(80,000)(2/5)

**W=32,000**

**F=**80,000-32,000=

**48,000**

Let's check our work...

(1/4)(32,000)=(1/6)(48,000)

8,000=8,000

1) F + W = 80,000

2) F/6 = W/4 (A quarter of Winstons income is equal to one sixth of Frans income)

3) F=3/2W (rearranging 2)

Plug 3) into 1)

5/2W = 80,000

W = 32,000

F = 48,000 (Using 3)