Question

Kristel is considering hiring a moving company. Sanford's Plus charges an initial fee of $125 plus $165 per hour. Quality Moving Company charges an initial fee of $200 plus $145 per hour. If either company were hired for hours, the total cost would be the same. If Sanford's Plus is hired for 12 hours, it would cost $ .

Answer 1

Let the number of hours be $x

Initial charges by Sanford's Plus = $125

Per hour charges = $165

Total cost of Sanford's Plus company = 125 + 165x

Initial charges by Quality Moving Company = $200

Per hour charges = $145

Total cost of Quality Moving Company = 200 + 145x

If either company were hired for hours, the total cost would be the same

125 + 165x = 200 + 145x

Add -125 on both sides

125 - 125 + 165x = 200 + 145x-125

165x = 75 + 145x

Add -145 on both sides

165x - 145x = 75

20x = 75

Divide both side by 20, to find the value of x

x = 75/20

x = 3.75 hours

Total cost of Sanford's Plus company = 125 + 165x

x = 12 hrs

Total cost of Sanford's Plus company = 125 + 165(12)

Total cost of Sanford's Plus company = 125 + 1980

Total cost of Sanford's Plus company = $2105

Answer 2

3.75 hours and $2105