AlgebraHardCupcakes sold at the higher price
Algebra practice question
A tray of 24 cupcakes was sold out. Some were sold at $2 each and the rest at $1.50 each, for $42 in total. How many were sold at $2?
Answer: 12
2x + 1.5(24 − x) = 42 gives 0.5x + 36 = 42, so x = 12.
Common wrong answers
- If you answered 6
- 6 is 42 − 36 without dividing by 0.5.
- If you answered 18
- 18 comes from 2x + 1.5(24 − x) = 45.
- If you answered 21
- 21 divides 42 by 2, ignoring the cheaper cupcakes.
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