SOLUTION: Alycia opens her piggy bank to find only nickels and quarters inside. She counts the coins and finds that she has 44 coins totaling $5.00. How many nickels were in the piggy bank,

Question 1071343: Alycia opens her piggy bank to find only nickels and quarters inside. She counts the coins and finds that she has 44 coins totaling $5.00. How many nickels were in the piggy bank, and how many quarters were in there?
Found 2 solutions by Boreal, josgarithmetic:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
x=nickels
44-x=quarters
.05x+.25(44-x)=5.00
.05x+11.00-.25x=5.00
-.20x=-6.00
x=30 nickels ($1.50)
44-x=14 quarters ($3.50)
They add to $5.00
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
VARIABLES
n nickels
q quarters

EQUATIONS

SOLVE
-
Multiply the money count equation by 20 to get simple whole number coefficients and constant.
-

-
The system to solve should now be and n is easily eliminated to quickly find q.
-

-------number of quarters....
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