Question

Jessica is going to the store to buy pumpkins. Small pumpkins cost $2.50 and large pumpkins cost $6.00. She needs to buy 20 pumpkins, and she has $78 to spend. Write the system of equations.

Answer 1

The system of equations for Jessica's pumpkin purchase is: x + y = 20, which represents the total number of pumpkins, and 2.50x + 6y = 78, which represents the total cost.

Step-by-step explanation:

Jessica is buying pumpkins, and the problem involves writing a system of equations based on the constraints given. First, let x represent the number of small pumpkins and y represent the number of large pumpkins. The cost of a small pumpkin is $2.50 and a large pumpkin is $6.00. Jessica needs to buy 20 pumpkins in total and has $78 to spend.

The first equation will represent the total number of pumpkins:

Equation 1:

x + y = 20

The second equation will represent the total amount of money spent on pumpkins:

Equation 2:

2.50x + 6y = 78

Therefore, the system of equations that represents the situation is:

x + y = 20

1. 2.50x + 6y = 78