Problema Solution

Sue tool her collection of nickels and dimes to deposit in the bank. She has five fewer nickels than dimes. Her total deposit was $45.20. How many dimes did she deposit?

Answer provided by our tutors

1 nickle = 5 cents

1 dime = 10 cents


let


n = the number of nickles

d = the number of dimes


She has five fewer nickels than dimes


n = d - 5


Her total deposit was $45.20 = 4520 cents


5n + 10d = 4520


plug n = d - 5 into the last equation we get


5(d - 5) + 10d = 4520


by solving we find


d = 303 dimes


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Sue deposited 303 dimes.