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Question about Equation and Inequality

Subject Math

Math

Source Originais Teachy

Originais Teachy

Topic Equation and Inequality

Equation and Inequality

Difficulty Hard

Hard

(Originais Teachy 2023) - Question Hard of Math

A group of 6th-grade students are planning a one-day trip to a local amusement park. They are given a task to plan their activities within a budget. The amusement park offers a variety of activities, each with its own cost. The cost of each activity is represented by the equation x + 2y = 20, where x represents the cost of the roller coaster ride and y represents the cost of the Ferris wheel ride. The students want to ride the roller coaster twice and the Ferris wheel thrice but they don't want to exceed their budget of 50 dollars. They also want to have the maximum fun, so they want to go on as many rides as possible without exceeding their budget. How should they plan their activities?

The students can ride the Ferris wheel twice (costing them 10 dollars each time for a total of 20 dollars) and the roller coaster twice (costing them 15 dollars each time for a total of 30 dollars) without exceeding their budget of 50 dollars.

The students can ride the Ferris wheel four times (costing them 10 dollars each time for a total of 40 dollars) and the roller coaster once (costing them 10 dollars) without exceeding their budget of 50 dollars.

The students can ride the Ferris wheel once (costing them 10 dollars) and the roller coaster four times (costing them 10 dollars each time for a total of 40 dollars) without exceeding their budget of 50 dollars.

The students can ride the Ferris wheel twice (costing them 10 dollars each time for a total of 20 dollars) and the roller coaster thrice (costing them 10 dollars each time for a total of 30 dollars) without exceeding their budget of 50 dollars.

The students can ride the Ferris wheel thrice (costing them 10 dollars each time for a total of 30 dollars) and the roller coaster twice (costing them 0 dollars each time for a total of 0 dollars) without exceeding their budget of 50 dollars. This way, they can go on as many rides as possible without exceeding their budget.

Answer sheet:

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