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# word problem / fractions

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?

### 3 Answers by Expert Tutors

Kenneth G. | Experienced Tutor of Mathematics and StatisticsExperienced Tutor of Mathematics and Sta...
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.

Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...
3.0 3.0 (1 lesson ratings) (1)
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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
Tom D. | Very patient Math Expert who likes to teachVery patient Math Expert who likes to te...
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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)