A company rents out 15 food booths and 25 game booths at the county fair. The fee for a food booth is $100 plus $3 per day. The
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Answer:
A bag of pop corn costs $8, and each Pretzel costs $4.25.
Step-by-step explanation:
Let be the price of popcorn, and
the price of Pretzels. If the girl bought 2 bags of popcorn and 5 Pretzels and it cost her $37.25, we have the equation
<em>(this says that the cost of 2 popcorn bags plus 5 pretzels equals $37.25)</em> .
And, since Zoe bought 8 popcorn bags and 9 Pretzels with a total price of $102.25, we get the equation
<em> (this says that the cost of 8 popcorn bags plus 9 Pretzels equals $102.25).</em>
Thus, we have two equations
1.
2.
and we solve them by first multiplying equation (1) by 4:
,
and then subtracting it from equation (2):
Now we put this value of into equation (1) and get:
and we solve for to get:
Therefore, a bag of popcorn costs $8, and each Pretzel costs $4.25.