Answer:
The cost of
Regular baskets = x = $20
Deluxe baskets = y = $42
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