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Adnan Hassan earned 5% commission as a sales trainee. After
promotion to a sales associate, he earned 8% commission. His year-end
report showed $673,874 in total sales and $45,006.52 in commission.
What did his sales total as (a) a sales trainee and (b) a sales associate?

Respuesta :

MrRoyal

Answer:

He earns $296780 as a Sales Trainee and $377094 as a Sales Associate

Explanation:

Given

Let x represents his sales as a sales trainee

Let x represents his sales as a sales associate

Total Sales: [tex]x + y = 673874[/tex]

Total Commission: [tex]0.05x + 0.08y = 45006.52[/tex]

Required

Find x and y

Equations

[tex]x + y = 673874[/tex] --- (1)

[tex]0.05x + 0.08y = 45006.52[/tex] --- (2)

Make  y the subject of formula in (1)

[tex]x + y = 673874[/tex]

[tex]y = 673874 - x[/tex]

Substitute this in (2)

[tex]0.05x + 0.08y = 45006.52[/tex]

[tex]0.05x + 0.08(673874 - x) = 45006.52[/tex]

Open Bracket

[tex]0.05x + 53909.92 - 0.08x = 45006.52[/tex]

Collect Like Terms

[tex]0.05x - 0.08x = 45006.52 - 53909.92[/tex]

[tex]- 0.03x = -8903.4[/tex]

Divide through by -0.03

[tex]x = \frac{-8903.4}{-0.03}[/tex]

[tex]x = 296780[/tex]

Recall that

[tex]y = 673874 - x[/tex]

[tex]y = 673874 - 296780[/tex]

[tex]y = 377094[/tex]

Hence;

He earns $296780 as a Sales Trainee and $377094 as a Sales Associate

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