SOLUTION: Tom and Alison are both salespeople . tom's weekly compensation consist of $300 plus 20 percent of his sales. Alison's weekly compensation consist of $200 plus 25 percent of her sa

Question 363478: Tom and Alison are both salespeople . tom's weekly compensation consist of $300 plus 20 percent of his sales. Alison's weekly compensation consist of $200 plus 25 percent of her sales. if they both had the same amount of sales and the same
compensation for a particular week, what was that compensation in dollars ?
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
"tom's weekly compensation consist of $300 plus 20 percent of his sales" = 300+0.20t
"Alison's weekly compensation consist of $200 plus 25 percent of her sales" = 200+0.25a.
Here we let t = Tom's weekly sales, a = Allison's weekly sales.
"they both had the same amount of sales" means t = a.
"and the same compensation for a particular week" means 200+0.25a = 300+0.20t.
By direct substitution, 200+0.25a = 300 + 0.20a, or
0.05a = 100, or a = 2000, the amount of sales of Allison, which is also the amount of sales of Tom.
RELATED QUESTIONS
Don Lavigne, an office equipment sales representative, earns a weekly salary plus a... (answered by richwmiller)

Don Lavigne, an office equipment sales representative, earns a weekly salary plus a... (answered by Theo)

Don, an office equipment sales representative, earns a weekly salary plus a commission on (answered by duckness73)

Jack and David are both waiters at the same restaurant. Jack's compensation is $100 per... (answered by josmiceli)

Breanne and Alison finished a 5 km fun run. Alison finished 400 m ahead of Breanne.... (answered by ankor@dixie-net.com)

Tom�s weight is 1/7th of his grandfather and 1/4th of his mother. What fraction is Tom�s (answered by ikleyn)

Tom�s grades on his first 3 math tests are 82%, 75%, and 93%. What grade on the 4thtest... (answered by solver91311)

A salesperson's weekly income is determined by a salary of $250 per week and 11%... (answered by scott8148)

A vacuum cleaner salesperson's weekly income depends on the amount of his sales. His... (answered by ikleyn)