AlgebraHardNumber of shelves from a nested expression
Algebra practice question
A carpenter cuts a board of length 60 units into pieces: three pieces of length 2n − 4 each and two pieces of length n each, using the whole board. What is the value of n?
Answer: 9
3(2n − 4) + 2n = 60 gives 8n − 12 = 60, so n = 9.
Common wrong answers
- If you answered 6
- 6 solves 3(2n − 4) + 2n = 36, an invented total.
- If you answered 12
- 12 solves 6n − 12 = 60, missing the two pieces of length n.
- If you answered 7.5
- 7.5 solves 8n = 60, forgetting the −12.
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