SOLUTION: Matt has twice as many quarters as dimes in his coin collection. if dimes and quarters together total $9.00 how many of each kind of coin does he have?

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Question 541310: Matt has twice as many quarters as dimes in his coin collection. if dimes and quarters together total $9.00 how many of each kind of coin does he have?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let d= number of quarters
Let q = number of quarters
given:
(1) +q+=+2d+
(2) +10d+%2B+25q+=+900+ ( in cents )
Substitute (1) into (2)
(2) +10d+%2B+25%2A%282d%29+=+900+
(2) +10d+%2B+50d+=+900+
(2) +60d+=+900+
(2) +d+=+15+
and, since
(1) +q+=+2d+
(1) +q+=+2%2A15+
(1) +q+=+30+
He has 15 dimes and 30 quarters
check:
(2) +10%2A15+%2B+25%2A30+=+900+
(2) +150+%2B+750+=+900+
(2) +900+=+900+
OK