16Hit1600
AlgebraVery hardStarting amount from fractional spending

Algebra practice question

Kai spent one third of his money on a book and then $12 on lunch. He then had exactly half of his original money left. How many dollars did Kai start with?

Answer: 72

m − m/3 − 12 = m/2 gives 2m/3 − 12 = m/2, so m/6 = 12 and m = 72.

Common wrong answers

If you answered 24
24 is m/3, the amount spent on the book.
If you answered 36
36 comes from m/3 + 12 = m/2 with m/6 = 6, a slip in the 12.
If you answered 48
48 is the amount left after the book, before lunch.

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