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Solve the problem by defining the unknown variable, setting up an equation and s

ID: 3113639 • Letter: S

Question

Solve the problem by defining the unknown variable, setting up an equation and showing all work. Problems must be shown algebraically to receive credit. Show any formula used. One-foot ceiling tiles are sold in packages of 30. Find how many packages must be bought to cover a rectangular ceiling that is 14 times 18 feet. (a) Give the formula, (b) define a variable, (c) use the answer from part (a) to set up an equation, (d) find the number of packages needed. (a) ___________ (b) ___________ (c) ___________ (d) ________ packages

Explanation / Answer

14*18 = 252 square feet

so you need 252 tiles

1 foot ceiling tiles are sold in packages 30

so if there are 252 tiles it would require 252/30 = 8.4 boxes

a) formula

1 foot = 1 package of 30

n feet = [ n / 30 ] package

f(n) = n/ 30

hence , f(n) = number of packages

n = area of the ceiling

c) f(n) = 252/30

d) number of packages = 8.4

= 9 packages are needed

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