Answer with explanation:
1 Dime(D) = 0.10$,
1 Quarter(q)= 0.25$
Total number of Dimes and Quarters in all = $ 6.35
q= Number of Quarters
Number of Dimes =D=3 q +3
Expressing the above statement in terms of Equation:
→0.10 D +0.25 q=6.35
→10 D + 25 q=635-------(1)
→D - 3 q =3
Multiplying both sides by, 10
→ 10 D - 30 q =30---------(2)
Equation (2) - Equation (1)
25 q +3 0 q= 635 -30
55 q = 605
Dividing both sides by ,55 we get
q=11
D= 3 × 11+3
=33 +3
D=36
→The number of dimes is three more than three times the number of quarters.
D= 3 + 3 q