Question

To raise additional money for the school, the pep club decided to open the concession stand during the tournament and sell sandwiches and bottled water. Club members sold the water for $2 a bottle and the sandwiches for $4 each. They sold a total of 390 items. If they raised $1260 from the concession stand, how many sandwiches did they sell?

Answer 1

I used the linear combination method because both equations were in standard form. Before adding the equations together, I multiplied the first equation by –2 to eliminate x.

Once done the answer is 240.

Answer 2

The solution would be like this for this specific problem:

Given: x +y = 390

2x + 4y = 1260

2x+4y=1260 ßdivide by 2

= x+2y=630

x+y=390 ßsubtract

= x+2y-x-y=630-390

y=240

x+240=390

x=390-240=150

So, if they raised $1260 from the concession stand, then they sold 240 sandwiches.