SOLUTION: a person has 50 coins in dimes and quarters with a combined value of $7.70. Determine the number of coins of each type

Question 515197: a person has 50 coins in dimes and quarters with a combined value of $7.70. Determine the number of coins of each type
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
d = number of dimes
10d = value of dimes in cents
q = number of quarters
25q = value of quarters in cents
.
10d + 25q = 770 cents
.
d + q = 50
so
d = 50-q
.
substitute.
.
10(50-q) + 25q = 770
500 - 10q +25q = 770
15q = 270
q = 18
.
d = 50-q
d = 32
.
Check the values to make sure they're right.
.
25*18 = 450
10*32 = 320
Total = 770
.
Answer: The person has 18 quarters and 32 dimes.
.
Done.
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