Question

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?

Answer 1

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

Step-by-step explanation:

Given

Let x represents his sales as a sales trainee

Let x represents his sales as a sales associate

Total Sales:
`x + y = 673874`

Total Commission:
`0.05x + 0.08y = 45006.52`

Required

Find x and y

Equations

`x + y = 673874` --- (1)

`0.05x + 0.08y = 45006.52` --- (2)

Make y the subject of formula in (1)

`x + y = 673874`

`y = 673874 - x`

Substitute this in (2)

`0.05x + 0.08y = 45006.52`

`0.05x + 0.08(673874 - x) = 45006.52`

Open Bracket

`0.05x + 53909.92 - 0.08x = 45006.52`

Collect Like Terms

`0.05x - 0.08x = 45006.52 - 53909.92`

`- 0.03x = -8903.4`

Divide through by -0.03

`x = (-8903.4)/(-0.03)`

`x = 296780`

Recall that

`y = 673874 - x`

`y = 673874 - 296780`

`y = 377094`

Hence;

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