Problema Solution
Cheryl saves pennies, dimes and quarters. She has 25 more quarters than dimes. If she has 338 coins worth $24.56, how many pennies does she have?
Answer provided by our tutors
1 penny = 1 cent
1 dime = 10 cents
1 quarter = 25 cents
let
p = the number of pennies
d = the number of dimes
q = the number of quarters
she has 25 more quarters than dimes
q = 25 + d
she has 338 coins worth $24.56 = 2456 cents
p + d + q = 338
1*p + 10d + 25q = 2456
by solving the system of equations
q = 25 + d
p + d + q = 338
1*p + 10d + 25q = 2456
we find
p = 221 pennies
d = 46 dimes
q = 71 quarters
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