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Ratling [72]
2 years ago
15

Crazy cakes makes wedding cakes and birthday cakes. One week they made 2 wedding cakes and 5 birthday cakes and made $500. The n

ext week they made 1 wedding cake and 7 birthday cakes but only made $430. What is the cost of a wedding cake? What is the cost of a birthday cake?
Mathematics
1 answer:
Evgen [1.6K]2 years ago
4 0

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

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