SOLUTION: Liz received change of $1.15 in nickels and dimes at the supermarket. The cashier gave her back 20 coins. How many of each kind of coin did she received?

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Question 271641: Liz received change of $1.15 in nickels and dimes at the supermarket. The cashier gave her back 20 coins. How many of each kind of coin did she received?
Answer by mananth(16946) About Me  (Show Source):
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Liz received change of $1.15 in nickels and dimes at the supermarket. The cashier gave her back 20 coins. How many of each kind of coin did she received?

Let the number of nickel coins be x
Then the number of dimes will be 20-x

The value of nickesl will be 5x cents
The value of dimes will be 10(20-x) cents
5x+10(20-x) = 115 cents
5x+200 - 10x = 115
-5x = 115-200
-5x= -85
x= -85/-5
x= 17 = number of nickels.
Dimes will be 3 numbers

confirmation
3*10 + 17*5 = 115