SOLUTION: Aside from using trial and error, how does one solve this type of problem?
A large box of popcorn costs $4. A small box costs $3.
59 boxes are sold totalling $200.
How man
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Question 219675: Aside from using trial and error, how does one solve this type of problem?
A large box of popcorn costs $4. A small box costs $3.
59 boxes are sold totalling $200.
How many boxes of each were sold?
Thanks.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let 
represent the number of small boxes sold. Let 
represent the number of large boxes sold. Then 
dollars is the amount of money collected from the sale of small boxes and 
dollars is the amount of money collected from the sale of large boxes.
We know that:
because 59 boxes of both sizes were sold. We also know that:
because sales totaled $200. So, since 
, we can say
Given this relationship we can say:
 = 200)
by substitution of 
for
Now all you have to do is solve for to find the number of small boxes sold and then subtract that from 59 to find the number of large boxes sold.
John
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