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
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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.
Therefore x=22 and y=39
Hence there are 22 dimes in the jar
can you explain it in like a simpler way im not clear on what you did
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