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A school sells student tickets for 3 dollars and adult tickets for 5 dollars…

Try it on paper first. A hint, the key idea and the worked solution are here when you need them.

A school sells student tickets for $3$ dollars and adult tickets for $5$ dollars. It takes $60$ dollars in all. Let $x$ be the number of student tickets and $y$ the number of adult tickets.

Write an equation for $x$ and $y$ .

List all the solutions in which $x$ and $y$ are whole numbers, $0$ or more. How many are there?

Need a reminder? The key ideaShow

A linear equation in two variables, $ax + by + c = 0$ , has infinitely many solutions $(x, y)$ . To test a pair, put it in the equation and compare the two sides.

The worked solution

Have you tried it?

Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.

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← Write 4x = 9y - 5 in the form ax + by + c = 0. What are the numbers a, b and c?Draw the graph of 5x + 4y = 40. Find where it meets the two axes, and one more point as a check. →

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