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RatioShort answer · 2 marks

At Nadia's minimart, 840 rolls of paper towels were packed into cartons. Each carton held either 8 large rolls or 11 small rolls. The number of cartons holding large rolls was 3 times the number of cartons holding small rolls. How many cartons were used altogether?

Need a hint?

Draw one group containing 1 small-roll carton and 3 large-roll cartons. How many rolls does this group hold?

Worked answer

  1. Show 1 carton of small rolls and 3 cartons of large rolls as one group: 11 + 3 × 8 = 35 rolls.
  2. There are 840 ÷ 35 = 24 groups, so 24 × 4 = 96 cartons were used.
Answer: 96 cartons

The mistake this question tests

Habit

Stopped at one part in ratio

Dividing 840 by 11 assumes that every carton held 11 rolls. The two carton sizes must first be combined using the given ratio.

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