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QuizMultiple Choice

Problem Solving with Systems — Quiz

Question 1 • Mathematics 8

Rami sold concessions during a concert. He sold bottled water for $3.50 each and bags of trail mix for $4 each. By the end of the evening, Rami sold 400 items for a total of $1,475. How many bottles of water and how many bags of trail mix did Rami sell?

Answer
A
150 bottles and 250 bags of trail mix
B
125 bottles and 275 bags of trail mix
C
250 bottles and 150 bags of trail mix
D
275 bottles and 125 bags of trail mix

Explanation

Let w be the number of bottles of water and t the number of bags of trail mix. Since Rami sold 400 items, w + t = 400; using the prices, 3.50w + 4t = 1,475. Substituting t = 400 − w gives 1,600 − 0.50w = 1,475, so w = 250 and t = 150. The correct choice is C: 250 bottles and 150 bags of trail mix.

AI-written and checked against the verified answer.

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