If the carrier had 7 more dimes, he would have equal numbers of dimes and quarters, and twice as many nickels. His total amount would be .. $4.25 +0.70 = $4.95.
Each group of 2 nickes, 1 quarter, and 1 dime total $0.45, so the carrier would have $4.95/0.45 = 11 such groups.
The carrier has 11 quarters, 22 nickels, and 4 dimes.