Mr Tan received p cartons of eggs. Each carton contained 8 eggs. 4 eggs were broken, so he shared the remaining eggs equally among 6 families.
- How many eggs did each family receive, in terms of p?
- Each family received 10 eggs. Find the value of p.
Need a hint?
Find the total number of eggs first. Remove the 4 broken eggs before dividing the remainder equally among the 6 families.
Worked answer
- Total number of eggs = 8 × p.
- After removing the 4 broken eggs, 8p − 4 eggs remain.
- Each family receives (8p − 4) ÷ 6 eggs.
- Total eggs shared = 10 × 6 = 60.
- 8p − 4 = 60.
- 8p = 64.
- p = 64 ÷ 8 = 8.
Answer: 8 cartons
The mistake this question tests
Habit
Fraction of a remainder
A common mistake is to divide all 8p eggs by 6 immediately. This wrongly includes the 4 broken eggs among the eggs shared.
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