SOLUTION: Write a linear system that models the situation and solve. During a football game, students sell bags of popcorn for $2.50 each and drinks for $2 each. The students collect $336

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Question 701315: Write a linear system that models the situation and solve.
During a football game, students sell bags of popcorn for $2.50 each and drinks for $2 each. The students collect $336 in sales. They sell twice as many bags of popcorn as drinks. How many bags of popcorn do they sell?
Answer by neatmath(302) About Me  (Show Source):
You can put this solution on YOUR website!

Let p be the number of bags of popcorn sold.

Let d be the number of drinks sold.

Then we have:

2.50%2Ap%2B2%2Ad=336 given

p=2d given

We can then use substitution to solve, using the value of p in the second equation in the first equation:

2.50%2A%282d%29%2B2%2Ad=336

5d%2B2d=336

7d=336

d=48

Then just plug this value for d into the second equation:

p=2d

p=2%2A48

p=96

So the students sold 96 bags of popcorn (and 48 drinks).

Check it, and it should work!

2.50%2A96%2B2%2A48=336 ???

240%2B96=336 ???

336=336 YES

I hope this helps! Keep practicing! :)

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