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

Jordan has quarters and dimes with a total of $1.85 = 185 cents ($1 = 100 cents):

10d + 25q = 185

d = q - 5 (the number of dimes is 5 less then the number of quarters)

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click here to see the equation solved for d and q

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d = 1.6

q = 6.7

Since we need integers solutions follows Jordan can not have quarters and dimes with a total of $1.85, such that the number of dimes is 5 less then the number of quarters.