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musickatia [10]
3 years ago
8

Amara currently sells televisions for company A at a salary of $17,000 plus a $100 commission for each television she sells. Com

pany 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?
Mathematics
2 answers:
DENIUS [597]3 years ago
8 0

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:

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

Varvara68 [4.7K]3 years ago
5 0

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

<u>Form equations</u>

<u>17000 +100 x = 29000 + 20x\\\\\\100x-20x= 29000-17000\\\\\\80x=12000\\\\\\x=12000/80 = 150</u>

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

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