SOLUTION: The drummer boy purchased D drums for X dollars. If each drum had cost $5 less, how many drums could the boy have purchased for $100?

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Question 66982This question is from textbook Advanced mathematics
: The drummer boy purchased D drums for X dollars. If each drum had cost $5 less, how many drums could the boy have purchased for $100? This question is from textbook Advanced mathematics

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
(cost per drum)*(number of drums) = total cost
x/d is the cost per drum
x/d - 5 is the cost per drum less $5
n = number of drums purchased
100 = total cost
(x/d - 5)*n = 100
n = 100 / (x/d - 5) answer
say x = 625
d = 25
n = 100 / (625/25 - 5)
n = 100 / (25 - 5)
n = 100 / 20
n = 5

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