Write a system of equations to describe the problem situation. It is not necessary to solve the problem. The I.R.Rabbit Company sells carrots. It sells six times as many pounds to grocery stores as to restaurants. It has 5,300 pounds of carrots. The company sells x pounds of carrots to grocery stores and y pounds of carrots to restaurants.
A) $x + y = 5,300 , y = 6 x$
B) $x - y = 5,300 , x = 6 y$
C) $y - x = 5,300 , x = 6 y$
D) $x + y = 5,300 , x = 6 y$
E) $x = 5,300 + y , y = 6 x$

Question

Quizplus · Accepted Answer

Since the company sells six times as many pounds to grocery stores as to restaurants, we can write y = 6x. Also, the company has a total of 5,300 pounds of carrots, so x + y = 5,300. Therefore, the system of equations is:
x + y = 5,300
y = 6x
The correct choice is D, which matches this system of equations.

Write a System of Equations to Describe the Problem Situation x+y=5,300,y=6xx + y = 5,300 , y = 6 xx+y=5,300,y=6x

Write a System of Equations to Describe the Problem Situation $x + y = 5,300 , y = 6 x$