Summer camp options

Question

You attended Top of Your Game Camp and paid $578.50. How many weeks did you spend at Top of Your Game Camp? Justify your answer (write and solve an equation using the expression you found on slide 1). After how many weeks will the cost of Power Camp be the same as the cost of All Star Camp? Write and solve an equation to justify your answer. How much will it cost for either camp?

Answer 1

Power Camp: 30 + 55.50d + 20d

All Star Camp: 20 + 46.50d + 34d

Top of Your Game Camp: 15 + 58.25d + 22.25d

PART 1: Solve this equation for d by combining like terms, etc., and you will know how many weeks were spent at Top of Your Game Gamp: 578.50 = 15 + 58.25d + 22.25d

PART 2: Set the Power Camp expression and the All Star Camp expression equal to each other (see below) and solve for d. Do this by getting all the d terms on one side of the equal sign and everything else on the other side by adding and subtracting as necessary.

30 + 55.50d + 20d = 20 + 46.50d + 34d