SOLUTION: 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 fractio

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Question 3178: 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
Answer by xcentaur(357)   (Show Source): You can put this solution on YOUR website!
Let total income be x
Then income spent on:
:rent=x/3
:food=x/4
:clothes:x/5
Total fraction spent
=
=
=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


x=180 pounds (total income)


weekly income of 180 pounds

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