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Question
x + y = 28
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.Marci sold 17 boxes and Jennifer sold 11 boxes.
To solve this problem, we can use a system of equations. We are given two equations:
1) x + y = 28
2) y = 2x - 5
We can substitute the value of y from the second equation into the first equation:
x + (2x - 5) = 28
3x - 5 = 28
3x = 33
x = 11
Now, we can substitute the value of x into the second equation to find the value of y:
y = 2(11) - 5
y = 22 - 5
y = 17
Therefore, Marci sold 17 boxes and Jennifer sold 11 boxes.
The correct answer is D) Marci sold 17 boxes and Jennifer sold 11 boxes.