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AlgebraMediumCoffees sold from a mixed total

Algebra practice question

A cafe sold 40 cups of coffee and tea in total for $150. A coffee costs $4.50 and a tea costs $3. How many coffees were sold?

Answer: 20

4.5c + 3(40 − c) = 150 gives 1.5c = 30, so c = 20.

Common wrong answers

If you answered 10
10 halves the answer.
If you answered 40
40 is the total number of cups.
If you answered 33.33
33.33 divides 150 by 4.50, ignoring the teas.

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