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While you're in the parking lot, you realize that both the lightbulbs and the light switches
need to be replaced. You buy 9 bulbs and 4 switches. Each light switch cost $8 less than
each lightbulb. If the total cost is $520.50, what is the cost of one lightbulb? What is the cost
of one light switch? Write an equation for the situation.
Let x = the cost of a lightbulb

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musiclover10045

Cost of Lightbulb = x

cost of switch is x-8


9x + 4(x-8) = 520.50

Use distributive property:

9x + 4x -32 = 520.50

Simplify:

13x -32 = 520.50

Add 32 to both sides:

13x = 552.50

Divide both sides by 13

X = 42.50


A lightbulb costs $42.50

A switch costs 42.50-8 = $34.50

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