Question

i can use variables to represent quantities & write equations.

1. a home improvement store advertises 60 square feet of flooring for $287.00, including an $80.00 installation fee. write an equation to represent the cost of one square foot of flooring.

variable: ________
equation: ________

1. mr. peters purchased shrubs and trees for his yard for a total of $260. the shrubs cost $25 each and the trees cost $110 in total. write an equation to determine the number of shrubs purchased.

variable: ________
equation: ________

1. ms. fredrick purchased a bottled water for $1.25 and 6 doughnuts. the total cost was $6.90. write an equation to determine the cost of a doughnut.

variable: ________
equation: ________

Explanation:

Step1: Define variable for flooring cost

Let $x$ = cost per sq ft of flooring

Step2: Set up total cost equation

Total cost = 60x + 80 = 287
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Step1: Define variable for shrub count

Let $n$ = number of shrubs purchased

Step2: Set up total cost equation

Total cost = 25n + 110 = 260
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Step1: Define variable for doughnut cost

Let $c$ = cost of one doughnut

Step2: Set up total cost equation

Total cost = 1.25 + 6c = 6.90

Answer:

Problem 24:

Variable: $x$ (cost per square foot of flooring)
Equation: $60x + 80 = 287$

Problem 25:

Variable: $n$ (number of shrubs purchased)
Equation: $25n + 110 = 260$

Problem 26:

Variable: $c$ (cost of one doughnut)
Equation: $6c + 1.25 = 6.90$