SOLUTION: Malcolm has $2.30 in quarters and dimes. He has 2 more dimes than quarters. How many quarters does Malcolm have?

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Question 253859: Malcolm has $2.30 in quarters and dimes. He has
2 more dimes than quarters. How many quarters does
Malcolm have?
Found 2 solutions by richwmiller, checkley77:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
25q+10d=230
d=2+q
substitute 2+q for d
25q+10(2+q)=230
25q+20+10q=230
35q=210
7q=42
q=6

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
.25Q+.10(Q+2)=2.30
.25Q+.10Q+.20=2.30
.35Q=2.30-.20
.35Q=2.10
Q=2.10/.35
Q=6 ANS. FOR THE NUMBER OF QUARTERS.
6+2=8 ANS. FOR THE NUMBER OF DIMES.
PROOF:
.25*6+.10*8=2.30
1.50+.80=2.30
2.30=2.30