The drama club is selling gift baskets to raise money for new costumes. During the fall play, they sold a combined 18 regular gift baskets and 19 deluxe gift baskets, earning a total of $1,158. During the spring musical, they sold 15 regular gift baskets and 12 deluxe gift baskets, earning a total of $804. How much are they charging for the different sized gift baskets?

The cost of

Regular baskets = x = $20

Deluxe baskets = y = $42

Step-by-step explanation:

The drama club is selling gift baskets to raise money for new costumes.

Let us represent:

The cost of

Regular baskets = x

Deluxe baskets = y

During the fall play, they sold a combined 18 regular gift baskets and 19 deluxe gift baskets, earning a total of $1,158.

Hence:

18x + 19y = 1158 Equation 1

During the spring musical, they sold 15 regular gift baskets and 12 deluxe gift baskets, earning a total of $804.

15x + 12y = 804 Equation 2

Combining them two Equations

18x + 19y = 1158 Equation 1

15x + 12y = 804 Equation 2

Multiplying Equation 1 by 15 and Equation 2 by 18 to Eliminate x

270x + 285y = 17370 Equation 3

270x + 216y = 14472 Equation 4

We Subtract Equation 4 from Equation 3.

69y = 2898

y = 2898/69

y = $42

Solving for x

18x + 19y = 1158 Equation 1

18x + 19 × 42 = 1158

18x + 798 = 1158

18x = 1158 - 798

18x = 360

x = 360/18

x = $20

Therefore,

The cost of

Regular baskets = x = $20

Deluxe baskets = y = $42

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step-by-step explanation: