Steve sells vacuum cleaners door to door. He earns a base salary of $500 plus $100 for every vacuum cleaner he sells. Steve also works selling encyclopedias door to door. He makes $300 plus $200 for every set of encyclopedias he sells. How many items would Steve need to sell for the two salaries to be the same?

2

Step-by-step explanation:

Let x = number of items Steve sells

Let y = salary earned

Create two equations:

Vacuum sales:  y = 500 + 100x

Encyclopedia sales: y = 300 + 200x

Equal the equations and solve for x to find the number of items Steve needs to sell for the two salaries to be the same:

500 + 100x = 300 + 200x

Subtract 300 from both sides:  200 + 100x = 200x

Subtract 100x from both sides: 200 = 100x

Divide both sides by 100:  2 = x

Therefore, Steve would have to sell 2 items for the two salaries to be the same.

answer for #1 is c

answer for #2 is d

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