# SOLUTION: A stamp collection consists of 3, 8, and 15 cent stamps. The number of 8 stamps is one less than triple the number of 3 cent stamps. The number of 15 cent stamps is six less than

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 Question 292147: A stamp collection consists of 3, 8, and 15 cent stamps. The number of 8 stamps is one less than triple the number of 3 cent stamps. The number of 15 cent stamps is six less than the number of 8 cent stamps. The total value of all stamps is \$2.47. Find the number of 8 cent stamps in the collectionAnswer by ankor@dixie-net.com(16527)   (Show Source): You can put this solution on YOUR website!A stamp collection consists of 3, 8, and 15 cent stamps. The number of 8 stamps is one less than triple the number of 3 cent stamps. The number of 15 cent stamps is six less than the number of 8 cent stamps. The total value of all stamps is \$2.47. Find the number of 8 cent stamps in the collection : Let x, y, z = the number of 3, 8, 15 cent stamps respectively : "The number of 8 stamps is one less than triple the number of 3 cent stamps." y = 3x - 1 or 3x = y + 1 x = : "The number of 15 cent stamps is six less than the number of 8 cent stamps." z = y - 6 : "The total value of all stamps is \$2.47." .03x + .08y+ .15z = 2.47 Replace x and z .03() + .08y + .15(y-6) = 2.47 Multiply by 3 to get rid of that denominator, results .03(y+1) + .24y + .45(y-6) = 3(2.47) : .03y + .03 + .24y + .45y - 2.7 = 7.41 : .72y - 2.67 = 7.41 : .72y = 7.41 + 2.67 : .72y = 10.08 y = y = 14 ea 8 cent stamps : : Check our solution: Find the no. 3 and 15 cent stamps x = x = 5 ea 3 cent stamps : z = 14 - 6 z = 8 ea 15 cent stamps ; .03(5) + .08(14) + .15(8) = .15 + 1.12 + 1.20 = 2.47