Andrew has a certain number of coins in his pocket. He has three times as many dimes as quarters and six times as many nickels as dimes. A nickel is worth $0.05, a dime is worth $0.10 and a quarter is worth $0.5. If he has a total of $10.15, then which of the following represents the number of dimes in Andrew’s pocket? Choose the correct choice from the following answers:
A) 9
B) 10
C) 16
D) 20
E) 18
E.   Let number of quarters be q. Therefore , dimes are 3q and nickels are 18q.   Total value = 18q(.05) + 3q(0.1) + .5q =1.7q   Given total value = 10.15   therefore, 1.7q=10.15 or q=6   Number of dimes = 3q or 18   Answer : 18
<result>E</result>
Andrew has a certain number of coins in his pocket. He has three times as many dimes as quarters and six times as many nickels as dimes. A nickel is worth $0.05, a dime is worth $0.10 and a quarter is worth $0.5. If he has a total of $10.15, then which of the following represents the number of dimes in Andrew’s pocket?