From the information provided, find the value of m and the number of people who speak only one language.

Question 11:

b) Find the:

(i) value of $m$;

(ii) number of people who speak one language only.

To solve this, we will use the information provided in the problem statement for Question 11, which was:
Total people = 50
Speak Yoruba (Y): $(m^2 + 3)$
Speak Hausa (H): $(5m - 3)$
Speak Igbo (I): $(3m + 1)$
Speak all three languages (Y $\cap$ H $\cap$ I): 4
Speak exactly two languages: 14
Those who speak Igbo and Yoruba only (Y $\cap$ I only) are half of those who speak Yoruba and Hausa only (Y $\cap$ H only).
Those who speak Hausa and Igbo only (H $\cap$ I only) are 1 less than those who speak Yoruba and Hausa only (Y $\cap$ H only).
6 of them could not speak any of the languages.

b) (i) Find the value of $m$.