what do i need to do to solve this and how to solve this

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a jar filled with only nickles and dimes contain  a total of 61 coins. the value of all of the coins in the jar is $4.15. how many dimes are in the jar 

Oct 20th, 2015

Thank you for the opportunity to help you with your question!

In this question, form two equations to represent the total number of coins and the total values of the coins. Then after forming the equations, solve them simultaneously.

We know that a dime = $0.10 and a nickel = $0.05

Let x represent the number of dimes and y represent nickels,


a) x + y = 61

b)0.1x + 0.05y = 4.15

The second equation can be rewritten by multiplying the decimals by 100 to get

10x + 5y = 415

so 2x + y = 83

Solve the two equations simultaneously i.e. 

a) x+y=61


Therefore x=22 and y=39

Hence there are 22 dimes in the jar

Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 20th, 2015

can you explain it in like a simpler way im not clear on what you did 

Oct 20th, 2015

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