Question

Isaiah and Kamani are selling pies for a school fundraiser. Customers can buy blueberry pies and sweet potatoes pies. Isaiah sold 12 blueberry pies and 6 sweet potatoes pies for a total of $180. Kamani sold 1 blueberry pie and 12 sweet potatoes pies for a total of $130. Find the cost of a blueberry pie and a pumpkin pie O Blueberry Pie = $15, Sweet Potato Pie = $6

Answer 1

To find the cost of a blueberry pie and a sweet potato pie, we can set up and solve a system of equations using the given information.

Step-by-step explanation:

To find the cost of a blueberry pie and a sweet potato pie, we need to set up a system of equations using the information given. Let x represent the cost of a blueberry pie and y represent the cost of a sweet potato pie. From the given information, we can write the following equations:

Isaiah: 12x + 6y = 180

Kamani: x + 12y = 130

To solve this system of equations, we can use the method of substitution or elimination. Let's use the substitution method. From Kamani's equation, we can isolate x:

x = 130 - 12y

Substituting this value of x into Isaiah's equation, we get:

12(130 - 12y) + 6y = 180

Simplifying, we have:

1560 - 144y + 6y = 180

Combining like terms, we get:

-138y = -1380

Dividing both sides by -138, we find that:

y = 10

Substituting this value of y back into Kamani's equation, we can solve for x:

x + 12(10) = 130

x + 120 = 130

Subtracting 120 from both sides, we get:

x = 10

Therefore, the cost of a blueberry pie is $10 and the cost of a sweet potato pie is $10.