How do you solve this question?

Question

A salesman selling mobile phone is paid $A per week. His pay consist of a basic wage of $1200+$15 for each of the hand phones that he sells. In a particular week, he sold (n) mobiles phones.

 

(a)Show that the total amount of pay that the salesman received for the week is $A=$(1200+15n).

(b) Calculate the amount of money he would earn in a week if he sold 8 mobile phones.

(c) If he earned $1740 in a certain week , find the number of mobile phones which he sold that week.

Answer 1

Base pay is $1200, which means whether or not a phone is sold, he will make this amount weekly.  The variable salary is commission based, this means he must sell phones to get this and his commission is based on number of phone sold as he makes a percentage cut from each phone, $15.

 

thus if $A is weekly salary = base pay+commission= $A=$(1200+15n)

 

2.

$A=$(1200+15(8))= $1200+$120= $1320

this was the total amount he made in week he sold 8 phones

 

3. $A=$1740

$1740=$1200+15n

 

 $1740=$1200+15n

-$1200=-$1200

============

540=15n.........divide both sides by 15 to find n

 

n=36, sold 36 phones

 

n represents the number of phones he sold to make a commission of $540 which when added to his base salary($1200) totaled a salary of $1740 for the week.