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QA family spend 1/3 of their income on rent, 1/4 on food, and 1/5 on clothes

A family spend 1/3 of their income on rent, 1/4 on food, and 1/5 on clothes. If they are left with £39 each week find:

- total fraction spent on food, rent, clothes

- the fraction which is left

- their weekly income


Please can you help because my answer does not match with the answer in text book Thanks

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#1titiAnswered at 2013-03-02 12:22:52
Let total income be x Then income spent on: :rent=x/3 :food=x/4 :clothes:x/5 Total fraction spent ={{{x/3+x/4+x/5}}} ={{{(20x+15x+12x)/60}}} =47/60x Therefore,fraction which is left = 13/60x which is equal to 39 pounds Therefore, 13x=39*60 x=(39*60)/13 x=3*60 <br> x=180 pounds (total income) <P> <b>weekly income of 180 pounds</b>
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