SOLUTION: A jar contains 55 quarters and dimes. The total value of the coins is $8.50. Find the number of quarters and dimes in the jar.
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Question 677082: A jar contains 55 quarters and dimes. The total value of the coins is $8.50. Find the number of quarters and dimes in the jar. Answer by partha_ban(41) (Show Source):
You can put this solution on YOUR website! Let number of quarters = q
Therefore number of dimes = 55 - q
By condition, q * 25 + (55 - q) * 10 = 850 [all converted to cents]
25q + 550 - 10q = 850
25q - 10q = 850 - 550
15q = 300
q = 300/15 = 20
Therefore, number of quarters = 20
and number of dimes = 55 - 20 = 35
