SOLUTION: Mike has $9.85 in dimes and quarters. If there are 58 coins altogether, how many dimes and quarters does mike have?
Algebra.Com
Question 1003075: Mike has $9.85 in dimes and quarters. If there are 58 coins altogether, how many dimes and quarters does mike have?
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
Dimes = x
Quarters = y
x + y = 58.......(1)
10x + 25y = 985.......(20
Multiply Equation (1) by 10
10x + 10y = 580......(1)
10x + 25y = 985.......(2)
Subtract Eq (1) from Eq (2)
.....15y = 405
.......y = 27
Substitute y = 27 in Eq (1)
x + y = 58
x + 27 = 58
x = 58 - 27
x = 31
there are 31 Dimes and 27 Quarters
Hope this helps :-)
RELATED QUESTIONS
Mike has 19 coins (nickels, dimes, and quarters) in his piggy bank with a total value of... (answered by nyc_function,Fombitz)
Mike has 19 coins in his pocket worth a total of $2.35. He only has nickels, dimes and... (answered by ikleyn)
Mike has 19 coins in his pocket worth a total of $2.35. He only has nickels, dimes and... (answered by josgarithmetic)
Mike has 19 coins in his pocket worth a total of $2.35. He only has nickels, dimes and... (answered by Boreal,MathTherapy)
adam has quarters and dimes in his pocket. there are 28 coins in all, and they are worth... (answered by richwmiller)
sarah has a total of $4.10 in dimes and quarters. Altogether there are 29 coins. how... (answered by checkley79)
Mike has dimes and quarters. He has 18 coins. Mike has a total of $4.20. How many of... (answered by ewatrrr)
Darrel has dimes and quarters in his pocket. He has 28 coins in all, and they are worth... (answered by ikleyn)
A bank teller has $22.55 in quarters and dimes. There are 58 more quarters than dimes.... (answered by nerdybill)