Becky is offered two salary plans. Plan 1 is $400 per week plus a 2% commission of sales. Plan 2 is $250 per week plus 16% commission of sales. How much would Becky need to sell in order for the two plans to pay her the same amount?

Becky is offered two salary plans. Plan 1 is $400 per week plus a 2% commission of sales. Plan 2 is $250 per week plus 16% commission of sales. How much would Becky need to sell in order for the two plans to pay her the same amount?

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter5: Systems Of Linear Equations

Section5.2: Solve Systems Of Equations By Substitution

Problem 5.48TI: Kenneth currently sells suits for company A at a salary of $22,000 plus a $10 commission for each...

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Question

100%

Becky is offered two salary plans. Plan 1 is $400 per week plus a 2% commission of sales.
Plan 2 is $250 per week plus 16% commission of sales. How much would Becky need to
sell in order for the two plans to pay her the same amount?

Expert Solution

Step 1

Solution ) for plan 1

Amount = $400 + 0.02 x

(x = no .of sells order)

For plan 2

Amount= $250 + 0.16 x

For same Amount

$400 + 0.02 x = $250 + 0.16 x

$400 - $250 = 0.16x - 0.02x

$150 = 0.14x

x = $150/0.14

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