SOLUTION: A family budget provides an expenditures of Php5,100.00 per month for food. If the amount allotted for meat is Php300 more than that of milk and if the allotment for fruits is twic

Question 1184443: A family budget provides an expenditures of Php5,100.00 per month for food. If the amount allotted for meat is Php300 more than that of milk and if the allotment for fruits is twice as much as that for meat and milk, find the amount allotted for milk.
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

The allotment for fruits is twice as much as for everything else; that means the allotment for fruit is 2/3 of the total. 2/3 of Php5100 is Php3400.

So the allotment for fruits is Php3400 and the allotment for the meat and milk is Php1700.

Then, of that Php1700 allotment for meat and milk, the allotment for meat is Php300 more than the allotment for milk. A little logical reasoning and simple mental math says the allotment for meat is Php1000 and the allotment for milk is Php700.

If you need an algebraic solution, it is quite simple:

x=allotment for milk
x+300=allotment for meat
x+x+300=1700
2x+300=1700
2x=1400
x=700
x+300=1000

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