The drama club is selling gift baskets to raise money for new costumes. During the fall play, they sold a combined 28 regular gi
ft 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.
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.
