Question

Bocephus has a bag full of nickels and dimes. If there are 3 times as many dimes as nickels, and he has $\$36.05$ in his bag, how many nickels does he have?

Answer 1

103

Explanation:

Answer 2

`103\ nickels`

Explanation:

Let

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

y-----> the number of dimes

we know that

`1\ nickel=\$0.05`

`1\ dime=\$0.10`

`0.05x+0.10y=36.05`

Multiply by 100 both sides

`5x+10y=3,605` ------> equation A

`y=3x` ------> equation B

substitute equation B in equation A

`5x+10(3x)=3,605`

`5x+30x=3,605`

`x=3,605/35=103\ nickels`