He will have to sell by $263.16 per week
Step-by-step explanation:
Thomas has been offered two jobs
- The first job pays $620.00 per week
- The second job pays $570.00 per week plus 19% commission on his sales
We need to find how much he will have to sell in order for the second job to pay as much as the first job
Assume that the amount of his sales is $x per week
∵ The second job pays $570 per week plus 19% commission
on his sales
∵ His sales per week is $x
∴ The second Job pays = 570 + 19% × x
∴ The second Job pays = 570 + [tex]\frac{19}{100}[/tex] × x
∴ The second Job pays = 570 + 0.19 x
Equate the expression of the 2nd job by the amount payed of
the 1st job
∵ The first job pays $620 per week
∴ 570 + 0.19 x = 620
- Subtract 570 from both sides
∴ 0.19 x = 50
- Divide both sides by 0.19
∴ x = 263.16
He will have to sell by $263.16 per week
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