Question

Jim has only dimes and nickels in his coin bank. He has 37 coins with a total value of $2.65. How many nickels are in Jim's coin bank

Answer 1

`21\ nickels`

Explanation:

we know that

`1\ nickel= \$0.05`

`1\ dime= \$0.10`

Let

x-------> the number of nickels

y-------> the number of dimes

`x+y=37` ------> isolate the variable y

`y=37-x` --------> equation A

`0.05x+0.10y=2.65` ------> multiply by
`100` both sides

`5x+10y=265` -------> equation B

Substitute equation A in equation B and solve for x

`5x+10(37-x)=265`

`5x+370-10x=265`

`10x-5x=370-265`

`5x=105`

`x=21\ nickels`