Answer:
150
Step-by-step explanation:
Given that;
Company A offers;
Salary= $ 17000
commission= $100 per tv set
Company B offers;
Salary= $29000
Commission = $ 20 per tv set
Let the number of tv set sold to be= x
To solve this problem, the amount obtained after selling for A option should be equal to B option
Form equations
[tex]17000 +100 x = 29000 + 20x\\\\\\100x-20x= 29000-17000\\\\\\80x=12000\\\\\\x=12000/80 = 150[/tex]
The number of televisions sold for the options to be equal = 150
Answer:
Amara needs to sell 150 televisions to make both options earnings equal.
Step-by-step explanation:
Let the number of television sold be = x
For company A:
Salary is $17,000 plus a $100 commission for each television she sells.
Equation becomes:
[tex]f(x)=17000+100x[/tex]
For company B :
Salary is $29,000 plus a $20 commission for each television she sells.
Equation becomes:
[tex]f(x)=29000+20x[/tex]
So, to calculate how many televisions would Amara need to sell for the options to be equal, we will equal both the equations.
[tex]17000+100x=29000+20x[/tex]
=> [tex]100x-20x=29000-17000[/tex]
=> [tex]80x=12000[/tex]
x = 150
So, Amara needs to sell 150 televisions to make both options earnings equal.
We can check this :
[tex]17000+100(150)=29000+20(150)[/tex]
=> [tex]17000+15000=29000+3000[/tex]
=> [tex]32000=32000[/tex]
