SOLUTION: Mike has 7 more nickles than quarters. In all he has $1.25. How man nickles does he have? I'm stuck again!

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Question 64036: Mike has 7 more nickles than quarters. In all he has $1.25. How man nickles does he have?
I'm stuck again!

Found 3 solutions by josmiceli, checkley71, funmath:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
n = number of nickels
q = number of quarters
given
given
multiply both sides of 1st by 5
now subtract






He has 3 quarters and 10 nickels
check




OK

Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!
LET X BE THE NUMBER OF QUARTERS & (X+7) NICKLES THEN
25X+5(X+7)=125
25X+5X+35=125
30X=125-35
30X=90
X=90/30
X=3 QUARTERS THEN YOU HAVE 3=7=10 NICKLES
PROOF
3*25+10*5=125
75+50=125
125=125

Answer by funmath(2933)   (Show Source): You can put this solution on YOUR website!
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!!!

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