SOLUTION: Please help to solve... There are 26 nickels, dimes and quarters in all, and their value was $2.25. how many coins of each type were there if there were 10 times as many nickels

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Question 68585This question is from textbook An Incremental Development
: Please help to solve...
There are 26 nickels, dimes and quarters in all, and their value was $2.25. how many coins of each type were there if there were 10 times as many nickels as quarters? This question is from textbook An Incremental Development

Answer by ptaylor(2198) (Show Source):
You can put this solution on YOUR website!

Let x= number of quarters
Then 10x=number of nickels
And 26-x-10x or 26-11x=number of dimes
Now lets deal in pennies to reduce confusion
We are told that:
25x+5(10x)+10(26-11x)=225 clear parens
25x+50x+260-110x=225 subtract 260 from both sides
75x-110x=225-260
-35x=-35
x=1-----------------------------number of quarters
10x=10(1)=10---------------------number of nickels
26-11x=26-11=15---------------------number of dimes
CK
1(25)+10(5)+15(10)=225
25+50+150=225
225=225

Hope this helps-----ptaylor