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

Algebra ->  Percentage-and-ratio-word-problems -> 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      Log On


   



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) About Me  (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
=x%2F3%2Bx%2F4%2Bx%2F5
=%2820x%2B15x%2B12x%29%2F60
=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