Answer:
(i) Attached below. You can copy what I drew
(ii) (a) 35, (b) 60, (c) 5
Explanation:
- We're told that 25 students study Arabic only and 10 students' study both French and Arabic. Thus, this leaves 40 other students, as 75 - (10 + 25) = 40.
- We know that 45 students study French and this includes those who study French only and those who study both French and Arabic.
- Thus, we can subtract the number of students who study both languages from the number of students who study French (generally) to find the number of students who study French only: 45 - 10 = 35.
(a) Thus, 35 students study French only.
- Thus, we've sorted 70 students so far as 35 + 10 + 25 = 70.
- To find the number of students who studied neither Arabic nor French, we can subtract 70 from the total number of students in the class: 75 - 70 = 5.
(c) Thus, 5 students' study neither Arabic nor French
- We can check our work by making sure that:
the number of students who study French only + the number of students who study both French and Arabic + the number of students who study Arabic only + the number of students who study neither Arabic nor French equals 75:
35 + 10 + 25 + 5 = 75
45 + 30 = 75
75 = 75
Thus, our numbers are correct.
(b) Also, the number of students who study only subject is 60, as 35 (number of students studying French only) + 25 (number of students studying Arabic only) = 60
- I attached a picture of a diagram that you can use and I'll explain what everything means:
- The box represents the set, which is represented by the letter S in the top-left corner of the picture
- F represent the number of students who studied French only, which is why I wrote 35 in this circle
- The 10 represents the number of students who study both Arabic and French and likes between the F circle and the A circle
- A represents the number of students who studied Arabic only, which is why I wrote 25 in this circle
- The 5 outside the circles but inside the box represents the number of students who study neither Arabic nor French