A landscaping company charges its customers a portion

Asked by maham237 @ 25/12/2020 in Mathematics viewed by 344 People

Landscaping company A charges a $50 fee plus $18 an hour and landscaping company B charges $20 per hour and a fee of $30. At how many hours will the cost be the same for both companies

Answered by maham237 @ 25/12/2020

$\text{Hello there!}\\\\\text{In this question, we're trying to find when both companies cost the same}\\\\\text{We know that landscaping company A charges \$50 fee plus \$18 an hour}\\\\\text{That would be represented as:}\,\,y=18x+50\\\\\text{We know that landscaping company B charges \$20 per hour and a \$30 fee}\\\\\text{That would be represented as:}\,\,y=20x+30\\\\\text{We would get both equations, put them together, and solve}\\\\18x+50=20x+30\\\\\text{Solve:}\\\\18x+50=20x+30\\$

$\text{Subtract both sides by -20x}\\\\-2x+50=+30\\\\\text{Subtract both sides by 50}\\\\-2x=-20\\\\\text{Divide by -2}\\\\\large\boxed{x=10}\\\\\text{They're the same price at 10 hours}\\\\\text{I hope this helps!}\\\text{Best regards,}\\\text{MasterInvestor}$

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A landscaping company charges its customers a portion

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