Question 65009
Q=D+8 8 MORE QUARTERS THAN DIMES
NOW ADD THE VALUESOF THE QUARTERS & DIMES WE GET
25(D+8)+10D=550
25D+200+10D=550
35D=550-200
35D=350
D=10 SOLUTION FOR THE NUMBER OF DIMES.
THEN THERE ARE Q=10+8
Q=18 SOLUTION FORTHE NUMBER OF QUARTERS. 
PROOF
550=18*25+10*10
550=450+100
550=550