Question

A section of the grocery store displays water bottles. The bottles come in packages of 6 or 8. Let x represent the number of 6-bottle packages, and let y represent the number of 8-bottle packages. The total number of packages displayed is 270, and the total number of bottles are 1860. To find the values of x and y, which of the following systems of equations would you use? Show your work

Answer 1

So for this question you need to create your own simultaneous equations.

The total number of packages is x + y
So you get x + y = 270

The total number of bottles is 6 x the number of 6 bottle packages + 8 x the number of 8 bottle packages, so you get
6x + 8y = 1860.

Then you solve:
X + y = 270
x6
6x + 6y = 1620
6x + 8y = 1860
Take them away
2y = 240 so y= 140

Then solve for x
X+ y = 270
X + 140 = 270
X = 130