Answer:
Cost of Wedding cakes = x = $150
Cost of Birthday cakes = y = $40
Step-by-step explanation:
Let us represent:
Cost of Wedding cakes = x
Cost of Birthday cakes = y
Crazy cakes makes wedding cakes and birthday cakes. One week they made 2 wedding cakes and 5 birthday cakes and made $500.
2x + 5y = 500..... Equation 1
The next week they made 1 wedding cake and 7 birthday cakes but only made $430.
x + 7y = 430..... Equation 2
x = 430 - 7y
We substitute 430 - 7y for x in Equation 1
2x + 5y = 500..... Equation 1
2(430 - 7y ) + 5y = 500
860 - 14y + 5y = 500
860 - 500 = 14y - 5y
360 = 9y
y = 360/9
y = $40
Solving for x
x = 430 - 7y
x = 430 - 7(40)
x = 430 - 280
x = $150
Therefore:
Cost of Wedding cakes = x = $150
Cost of Birthday cakes = y = $40
