word problem / fractions

Question

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?

Answer 1

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.  

 

 

 

 

Answer 2

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

Answer 3

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)