SOLUTION: Bill's coin collection consists of pennies, dimes and half-dollars. The value of the collection is $1.62. He has 6 times as many pennies as half dollar and one more than twice as m

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Question 893654: Bill's coin collection consists of pennies, dimes and half-dollars. The value of the collection is $1.62. He has 6 times as many pennies as half dollar and one more than twice as many dimes as half dollars. How many dimes are in the collection?
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Bill's coin collection consists of pennies, dimes and half-dollars. The value of the collection is $1.62. He has 6 times as many pennies as half dollar and one more than twice as many dimes as half dollars. How many dimes are in the collection?
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let x=number of half dollars
6x=number of pennies
2x+1=number of dimes
..
.50x+.01*6x+.10*(2x+1)=1.62
.50x+.06x+.20x+.10=1.62
.76x=1.52
x=2
2x+1=4+1=5
How many dimes are in the collection? 5