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Answer:
Cost for blueberry toppings = x = $2
Cost for strawberry toppings = y = $2
Step-by-step explanation:
Let us represent
Cost for blueberry toppings = x
Cost for strawberry toppings = y
Stuff Mart sells ice cream toppings in two different packages.
Package one has eight blueberry and three strawberry toppings for 22$.
8x + 3y = 22....... Equation 1
Packages two has four blueberry and seven strawberry toppings for 22$.
4x + 7y = 22........ Equation 2
Combining both Equations
8x + 3y = 22....... Equation 1
4x + 7y = 22........ Equation 2
Multiply Equation 1 by 4 and Equation 2 8 to eliminate x
32x + 12x = 88...... Equation 3
32x + 56x = 176.... Equation 4
Subtract Equation 3 from Equation 4
44x = 88
x = 88/44
x = $2
Solving for y
Using Equation 1
8x + 3y = 22....... Equation 1
8(2) + 3y = 22
16 + 3y = 22
3y = 22 - 16
3y = 6
y = 6/3
y = $2
Therefore, the cost of each topping:
Cost for blueberry toppings = x = $2
Cost for strawberry toppings = y = $2
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