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AlgebraEasyBreak-even from a profit equation

Algebra practice question

A stall's profit p, in dollars, from selling c cups of coffee is given by p = 2c − 10. How many cups must be sold for the profit to be exactly 0?

Answer: 5

2c − 10 = 0 gives 2c = 10, so c = 5.

Common wrong answers

If you answered 10
10 is the fixed cost, not the number of cups.
If you answered 20
20 doubles 10 instead of halving it.
If you answered -10
−10 is the profit when no cups are sold.

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