SOLUTION: Dj has $4.50 in dimes and quarters. he has 4 more quarters than dimes. How many coins of each type does he have

Question 551448: Dj has $4.50 in dimes and quarters. he has 4 more quarters than dimes. How many coins of each type does he have
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
d = number of dimes
10d = value of the dimes in cents
q = number of quarters
25q = value of quarters in cents
.
10d +25q = $4.50= 450 cents
.
q = d+4
.
10d + 25(d+4) = 450
10d +25d + 100 = 450
35d = 350
d = 10
.
q = 10+4 = 14
.
Check the values.
10*10 = 100
25*14 = 350
100 +350 = 450
Correct.
.
Answer: 10 dimes and 14 quarters
.
Done.
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