SOLUTION: Megan Ada has 25 bills in 20-peso and 50-peso denominations. The total amount she has is Php 950. How many of each kind of bill does she have?

Question 1170584: Megan Ada has 25 bills in 20-peso and 50-peso denominations. The total amount she has is Php 950. How many of each kind of bill does she have?
Answer by akumpo(8) (Show Source): You can put this solution on YOUR website!
Let t be the number of 20 peso bills, and f the number of 50 peso bills.
t+f=25
20t+50f=950
Using system of equations we can find our answer. Multiply the first equation by 20 to get 20t+20f=500. Then, subtract the two equations to get rid of t.
This now turns into: 30f=450
Divide both sides by 30 to get f=15
Plug f into the first equation to get a value of 10 for t.
There are 10 20 peso bills, and 15 50 peso bills.

CHECK
t+f=25
10+15=25
TRUE
20t+50f=950
20*10+50*15=950
200+750=950
TRUE
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