SOLUTION: Alicia emptied the change in her pocket onto a table. There were eight coins altogether. The coins were all quarters and dimes. The total value of the coins was $1.25. Let x repres

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Question 1026422: Alicia emptied the change in her pocket onto a table. There were eight coins altogether. The coins were all quarters and dimes. The total value of the coins was $1.25. Let x represent the number of dimes and y represent the number of quarters.
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
There are 8 coins
x + y = 8...........(1)
Dimes and quarters
10x + 25y = 125......(2)
Simultaneous equations:
x + y = 8.......(1)
10x + 25y = 125...(2)
Multiply Eq(1) by 25
25x + 25y = 200....(1)
10x + 25y = 125....(2)
Subtract Eq(2) from Eq(1)
15x = 75
x = 5
Substitute x = 5 into Eq(1)
x + y = 8....(1)
5 + y = 8
y = 8 - 5
y =3
5 x Dimes: 3 x Quarters
Hope this helps :-)