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With coin problems, you have to keep track of the number of coins and their values.
d = number of dimes
10d = value of the dimes in cents
q = number of quarters
25q = value of the quarters in cents
10d + 25q = 925 cents (to keep all the amounts in the same units of measure)
d + q = 64
d = 64 - q
10(64-q) + 25q = 925
640 -10q + 25q = 925
15q = 285
q = 19
d = 64-19 = 45
Check the value to be sure this is the answer.
10d = 10(45) = 450
25q = 25(19) = 475
450 + 475 = 925
Answer: Kirsten as 19 quarters and 45 dimes.