Search 75,661 tutors
FIND TUTORS
Ask a question
0 0

word problem / fractions

Tutors, please sign in to answer this question.

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)