SOLUTION: Question: Jerome's piggy bank contains a total of 40 nickels and quarters. The value of the coins in the bank is $4.40. How many nickels and how many quarters are in the bank?

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Question 549242: Question:
Jerome's piggy bank contains a total of 40 nickels and quarters. The value of the coins in the bank is $4.40. How many nickels and how many quarters are in the bank?
I have absolutely no idea how to even start this problem. Please help!!
Thank You!
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
nickels x numbers
quarters y numbers

1 x + 1 y = 40 .............1
5.00 x + 25.00 y = 440.00 .............2
Eliminate y
multiply (1)by -25
Multiply (2) by 1
-25 x -25 y = -1000
5 x + 25 y = 440
Add the two equations
-20 x = -560.00
/ -20
x = 28
plug value of x in (1)
1 x + 1 y = 40
28 + 1 y = 40
1 y = 40
1 y = 12
y = 12
nickels numbers 28
quarters numbers 12
m.ananth@hotmail.ca