Question

Juan and Jasmine are selling pies for a school fundraiser. Customers can buy apple pies and pumpkin pies. Juan sold 3 apple pies and 1 pumpkin pie for a total of $25. Jasmine sold 9 apple pies and 7 pumpkin pies for a total of $103. What is the cost each of one apple pie and one pumpkin pie?​

Answer 1

The cost of an apple pie is $4 and the cost of a pumpkin pie is $7.

Step-by-step explanation:

Let's assume the cost of an apple pie is x dollars and the cost of a pumpkin pie is y dollars.

According to the given information, Juan sold 3 apple pies and 1 pumpkin pie for a total of $25. So we can write the equation:

3x + y = 25

Similarly, Jasmine sold 9 apple pies and 7 pumpkin pies for a total of $103:

9x + 7y = 103

To find the costs of an apple pie and a pumpkin pie, we can solve these equations using the substitution method or the elimination method. I will use the elimination method:

1. 
   
3. Multiply the first equation by 7 and the second equation by 3 to eliminate the variable x.
4. 
   
6. Subtract the second equation from the first equation.
7. 
   
9. Solve the resulting equation to find the value of y.
10. 
    
12. Substitute the value of y into either of the original equations to find the value of x.

After solving, we find that the cost of an apple pie is $4 and the cost of a pumpkin pie is $7.