The drama club is selling gift baskets to raise money for new costumes. During the fall play, they sold a combined 5 regular gift baskets and 24 deluxe gift baskets, earning a total of $1,122. During the spring musical, they sold 5 regular gift baskets and 29 deluxe gift baskets, earning a total of $1,337. 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.
Question
The drama club is selling gift baskets to raise money for new costumes. During the fall play, they sold a combined 5 regular gift baskets and 24 deluxe gift baskets, earning a total of 1,337. How much are they charging for the different sized gift baskets?The drama club is charging for a deluxe gift basket.
Solution
The problem can be solved by setting up a system of linear equations. Let's denote the price of a regular gift basket as R and the price of a deluxe gift basket as D.
From the fall play, we know that: 5R + 24D = $1,122 (equation 1)
From the spring musical, we know that: 5R + 29D = $1,337 (equation 2)
We can subtract equation 1 from equation 2 to find the price of a deluxe gift basket: 5D = 215 / 5 = $43
Substitute D = 43 = 1,122 - 24 * 1,122 - 90 So, R = 18
Therefore, the drama club is charging 43 for a deluxe gift basket.
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