y = 2x - 5
y = Marci; x = Jennifer
Jennifer and Marci are selling cookies for a fundraiser. They sold 28 boxes of cookies together. Marci sold 5 less than twice the number that Jennifer sold. How many boxes of cookies did each girl sell? Use system of equations to solve the problem.
Responses
A Marci sold 11 boxes and Jennifer sold 17 boxes.Marci sold 11 boxes and Jennifer sold 17 boxes.
B Marci sold 13 boxes and Jennifer sold 15 boxes.Marci sold 13 boxes and Jennifer sold 15 boxes.
C Marci sold 15 boxes and Jennifer sold 13 boxes.Marci sold 15 boxes and Jennifer sold 13 boxes.
D Marci sold 17 boxes and Jennifer sold 11 boxes.
To solve this problem using a system of equations, we can set up the following equations:
y = 2x - 5 (equation 1)
y + x = 28 (equation 2)
We can substitute y from equation 1 into equation 2:
(2x - 5) + x = 28
3x - 5 = 28
3x = 33
x = 11
Now that we have the value of x, we can substitute it back into equation 2 to find y:
y + 11 = 28
y = 17
Therefore, Marci sold 17 boxes and Jennifer sold 11 boxes.
Answer: D