Question

Amara currently sells televisions for company A at a salary of $17,000 plus a $100 commission for each television she sells. Company B offers her a position with a salary of $29,000 plus a $20 commission for each television she sells. How many televisions would Amara need to sell for the options to be equal?

Answer 1

Amara needs to sell 150 televisions to make both options earnings equal.

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:

`f(x)=17000+100x`

For company B :

Salary is $29,000 plus a $20 commission for each television she sells.

Equation becomes:

`f(x)=29000+20x`

So, to calculate how many televisions would Amara need to sell for the options to be equal, we will equal both the equations.

`17000+100x=29000+20x`

=>
`100x-20x=29000-17000`

=>
`80x=12000`

x = 150

So, Amara needs to sell 150 televisions to make both options earnings equal.

We can check this :

`17000+100(150)=29000+20(150)`

=>
`17000+15000=29000+3000`

=>
`32000=32000`

Answer 2

150

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

`17000 +100 x = 29000 + 20x\\\\\\100x-20x= 29000-17000\\\\\\80x=12000\\\\\\x=12000/80 = 150`

The number of televisions sold for the options to be equal = 150