Question 64036
Mike has 7 more nickles than quarters.  In all he has $1.25.  How man nickles does he have?
Let the number of quarters be: x
Then the amount of money in quarters: .25x
Then the number of nickels are: x+7
and the amount of money in nickels is: .05(x+7)
The total money is: 1.25
Problem to solve is:
.25x+.05(x+7)=1.25
.25x+.05x+.35=1.25
.30x+.35=1.25
.30x+.35-.35=1.25-.35
.30x=.90
.30x/.30=.90/.30
x=3 <--that's the number of quarters
The number of nickels: x+7=3+7=10
Sanity Check:
If you have 3 quarters and 10 nickels, do you have $1.25?
3(.25)+10(.05)=1.25
.75+.50=1.25
1.25=1.25 Yes!
Happy Calculating!!!