AlgebraMediumGreatest weight per item under a total limit
Algebra practice question
A box holding 24 identical cans must weigh at most 9 kilograms in total. The empty box weighs 0.6 kilograms. What is the greatest possible weight, in kilograms, of each can?
Answer: 0.35
0.6 + 24c ≤ 9 → 24c ≤ 8.4 → c ≤ 0.35.
Common wrong answers
- If you answered 0.375
- 0.375 comes from 9 ÷ 24, ignoring the box.
- If you answered 0.4
- 0.4 comes from (9 + 0.6) ÷ 24, adding the box's weight instead of subtracting it.
- If you answered 8.4
- 8.4 is the total allowed for the cans, not each can.
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