SOLUTION: How do I solve this question and what is the concept of solving Cost, Income, and Value Problems? Question: "A collection of 60 dimes and nickels is worth $4.80. How many dimes

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Question 226991: How do I solve this question and what is the concept of solving Cost, Income, and Value Problems?
Question: "A collection of 60 dimes and nickels is worth $4.80. How many dimes are there? (Hint: In your equation, use 380cents instead of $3.80."


Thank you.

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
You are told there are 60 coins that total $4.80
Let d represent the number of dimes and n be the number of nickles. Each dime is worht 10 cents and each nickle is worth 5
So
d+%2B+n+=+60
d+=+60-n
10d+%2B+5n+=+480
10%2860-n%29+%2B+5n+=+480
600+-+10n+%2B+5n+=+480
-10n+%2B+5n+=+480+-+600
-5n+=+-+120
5n+=+120
n+=+120%2F5
n+=+24 thus you have 24 nickles
60-24+=+d which means there are 36 dimes
Verify your answer
Does 36%2A10+%2B+24%2A5+=+480???