Problema Solution
The children came back from shopping with change from a $20 bill. They have the same number of pennies, nickels, and quarters, which come to a total of $3.10. How many of each coin do they have?
Answer provided by our tutors
1 penny = 1 cent
1 nickle = 5 cents
1 quarter = 25 cents
let
p = the number of pennies
n = the number of nickels
q = the number of quarters
They have the same number of pennies, nickels, and quarters, which come to a total of $3.10 = 310 cents
p = n = d
p + 5n + 25q = 310
lets plug n = p and d = p into the last equations
p + 5p + 25p = 310
by solving we find
p = 10 pennies
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n = 10 nickles
q = 10 quarters
The children have 10 pennies, 10 nickles and 10 quarters.