Question

The drama club is selling gift baskets to raise money for new costumes. During the fall play, they sold a combined 28 regular gift baskets and 24 deluxe gift baskets, earning a total of $1,188. During the spring musical, they sold 28 regular gift baskets and 13 deluxe gift baskets, earning a total of $836. How much are they charging for the different sized gift baskets?

The drama club is charging $____ for a regular gift basket and $____ for a deluxe gift basket.

Answer 1

28

Explanation:

Hi! So what we're gonna want to do here is set up a system of equations. Lets say x = regular baskets and y = deluxe baskets. You would set up the system like this:

28x + 24y = 1,188

28x + 13y = 836

So since the number before the x is the same in both equations, we are going to want to cancel that out.

28x + 24y = 1,188

-1(28x + 13y = 836)

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28x + 24y = 1,188

-28x - 13y = -836

Add the two equations together! There will be no x value :)

11y = 352

y = 32... The deluxe basket is going to cost $32

Put the y value into one of the equations to solve for x.

28x + 13(32) = 836

28x + 416 = 836

28x = 420

x = 15... The regular basket will cost $15

Hope this helps!