SOLUTION: Solve Problems Using Linear Systems 17. Fran and Winston have a combined income of $80 000. One quarter of Winston's income is the same as one-sixth of Fran's income. How much doe

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Solve Problems Using Linear Systems 17. Fran and Winston have a combined income of $80 000. One quarter of Winston's income is the same as one-sixth of Fran's income. How much doe      Log On


   

Question 184816: Solve Problems Using Linear Systems
17. Fran and Winston have a combined income of $80 000. One quarter of Winston's income is the same as one-sixth of Fran's income. How much does each person earn?
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Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
"Fran and Winston have a combined income of $80 000" ___ F + W = 80000 ___ W = 80000-F

"One quarter of Winston's income is the same as one-sixth of Fran's income" ___ W/4 = F/6

substituting ___ (80000-F)/4 = F/6 ___ 20000 - (F/4) = F/6

adding F/4 ___ 20000 = 5F/12

multiplying by 12/5 ___ 48000 = F

substituting ___ W = 80000 - (48000) ___ W = 32000