WAEC Mathematics 2023 Theory — Question 2
Question 2 of 13 from the West African Examinations Council (WAEC) Mathematics 2023 Theory paper, with the correct answer and a full explanation.
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2. Let the total number of students be n(μ)=30; n(W)=number that study woodwork=15; n(M)=number that study metalwork=13; n(W∪M)'=number that study neither=6. Using a Venn diagram, find the number of students that study woodwork only.
Model answer
Using a Venn diagram with x = number that study both: (15-x)+x+(13-x)+6=30 → 28+6-x=30 → 34-x=30 → x=4. Number that study woodwork only (W only)=15-x=15-4=11.
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