SOLUTION: 7: Your piggy bank contains $19.75 in dimes and quarters. There are 100 coins in all. How many dimes are there? i need help, how will i solve this ?

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Question 771765: 7: Your piggy bank contains $19.75 in dimes and quarters. There are 100 coins in all. How many dimes are there?
i need help, how will i solve this ?
Found 2 solutions by oscargut, Cromlix:
Answer by oscargut(2103) (Show Source):
You can put this solution on YOUR website!
Let x = number of dimes
Let Y = number of quarters
You have to solve the following system
x+y =100
0.1x+0.25y = 19.75
Answer: x = 35 , y = 65
I can help you with all of your questions at: mthman@gmail.com
Thanks

Answer by Cromlix(4381) (Show Source):
You can put this solution on YOUR website!
Dimes = x
Quarters = y
x + y = 100.....1
10x + 25y = 1975....2
Multiply Eq (1) by 25
25x + 25y = 2500....3
10x + 25y = 1975....2
Subtract (2) from (3)
15x = 525
x = 35
Substitute x = 35 into Eq (1)
x + y = 100
35 + y = 100
y = 100 - 35
y = 65.
Therefore there are 35 dimes and 65 quarters.
Hope this helps.
:-)