Below are two practice problems. Solve one of them using the substitution method and one using the addition/subtraction method. You can choose which problem to solve using substitution, and which to solve using addition/subtraction.
Payment Plan Option I: $300 base salary per month and 6% commission on sales made. If x is the amount of sales, the amount of monthly pay earned, y, is given by the equation y I = 300 + 0.06x.Payment Plan Option II: Base pay of $150 and then 10% commission on sales made. If x is the amount of sales, the amount of monthly pay earned, y, is given by the equation yII = 150 + 0.10x.
At what value of their sales, x, will the income for both options be the same, yI= yII.= y. So the two equations are:
If you wish to purchase ice cream for the party from Chunks Ice Cream Parlor, you can purchase unlimited amounts of ice cream at a cost of $3.96 per person. The cost of ice cream is given by the following equation, where y is the total cost and x is the number of persons.
Solve this system of equations, and find both the cost and number of people for whom the cost of ice cream will be equal to the cost of using The Great American Treehouse.