SOLUTION: A stamp collection consists of 5, 13, and 18 cent stamps. The number of 13 cent stamps is one less than twice the number of 5 cent stamps. The number of 18 cent stamps is five mor
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Question 21088: A stamp collection consists of 5, 13, and 18 cent stamps. The number of 13 cent stamps is one less than twice the number of 5 cent stamps. The number of 18 cent stamps is five more than the number of 13 cent stamps. The total value of all the stamps is $2.60. Find the number of 13 cent stamps in the collection. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Let "x" be the number of 13cent stamps.
Then x = 2(# of 5cent stamps)-1.
So, the number of 5cent stamps =(x+1)/2
Number of 18cent stamps is x+5
The value of "x" 13cent stamps is 13x.
The value of the 5cent stamps is 5[(x+1)/2]
The value of the 18cent stamps is 18(x+5)
Equation:
Value of 13cent + Value or 13cent + Value of 18cent = 260cents
13x + 5[(x+1)/2] + 18(x+5) = 260
Solve for "x" to get your answer.
Cheers,
Stan H.