Problema Solution

Joan has a pocketful of dimes and quarters worth $2.95 with 22 coins how many quarters are there

Answer provided by our tutors

1 dime = 10 cents

1 quarter = 25 cents


let


d = the number of dimes, d>0, d is integer

q = the number of quarters, q>0, q is integer


Joan has a pocketful of dimes and quarters worth $2.95 = 295 cents with 22 coins:


d + q = 22


10d + 25q = 295


by solving the above system of equations we find


d = 17 dimes


q = 5 quarters


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there are 5 quarters.