Fundi, Halima and Gitonga are employed in a firm. Fundi's monthly salary is $50 more than that of Gitonga. Halima’s monthly salary is $90 more than half of the total amount earned by Fundi and Gitonga. If Fundi's salary is $n, write the equation that represents the total monthly income of the three employees?
Gitonga = n - 50
Fundi = n
Halima = (n + n -50)/2 +90
= n +65
n + n -50 + n +75
= 3n + 15
GITONGA=n-50
Fundi=n
Halima=n+n-50/2+90
=2n-50/2+90
=n-25+90
=n+65
=n-50+n+n+65
=3n+65-50
=3n+15
Let's assign the following variables:
Fundi's salary = n
Gitonga's salary = x (since Fundi's salary is $50 more than Gitonga's)
Halima's salary = (n + x)/2 + 90 (since Halima's salary is $90 more than half of the total amount earned by Fundi and Gitonga)
The equation that represents the total monthly income of the three employees is:
Total monthly income = Fundi's salary + Gitonga's salary + Halima's salary
Substituting the variables, we get:
Total monthly income = n + x + [(n + x)/2 + 90]
To write the equation that represents the total monthly income of the three employees, let's break down the given information.
1. Fundi's monthly salary is $50 more than Gitonga's salary: Fundi's salary = Gitonga's salary + $50
2. Halima’s monthly salary is $90 more than half of the total amount earned by Fundi and Gitonga: Halima's salary = (Fundi's salary + Gitonga's salary)/2 + $90
3. Since we are given that Fundi's salary is $n, we can substitute this value into the first equation: Fundi's salary = $n
Now, to represent the total monthly income, we simply add up the salaries of all three employees:
Total monthly income = Fundi's salary + Halima's salary + Gitonga's salary
Substituting the equations we derived earlier:
Total monthly income = $n + ((Fundi's salary + Gitonga's salary)/2 + $90) + Gitonga's salary
Simplifying further:
Total monthly income = $n + Fundi's salary/2 + Gitonga's salary/2 + $90 + Gitonga's salary
Thus, the equation representing the total monthly income of the three employees is:
Total monthly income = $n + Fundi's salary/2 + 1.5 * Gitonga's salary + $90