Question

Veronica earns $150 per week plus 3.5% on sales,while Francis earns 6% commission only

a) How much does each earn on sales of $3600
b) What level of sales would yield each the same income

Answer 1

a) Veronica earns $276. Francis earns $216

b) $6000

Explanation:

Veronica's income would be I= 0.035s +150 where I is income and s is sales while Francis's income would be 0.06s. So for $3600 in sales Veronica earns $276 while Francis earns $216. To find the answer to part b just set the two equations equal to each other and solve for x. so 0.035x + 150 = 0.06x Subtracting 0.035 x from both sides gives 150 = 0.025x. Dividing both sides by 0.025 gives x = $6000