SOLUTION: As a salesperson at Trading Cards Unlimited Justin received a monthly commission on all that he sells. If he sells $500 worth of merchandise in one month, he is paid $410. If he se

Question 332982: As a salesperson at Trading Cards Unlimited Justin received a monthly commission on all that he sells. If he sells $500 worth of merchandise in one month, he is paid $410. If he sells $900 of merchandise in one month, he is paid $498. Find Justins salary when he sells $3,400 worth of merchandise?
I need the answer as soon as possible please and thank you..
Answer by benazir.sj@gmail.com(109) (Show Source): You can put this solution on YOUR website!
Let x b ethe daily wages and y be the commission percentage
first we have to form two equations and find x and y
he sells $500 worth of merchandise in one month, he is paid $410
ie;
daily wages +commission rate of 500 =$410
x+y%of$500=$410
x+y/100*500 =$410
x+5y=$410 ------------------(1)
he sells $900 of merchandise in one month, he is paid $498
x+y%of$900 =$498
x+y/100*900=$498
x+9y=$498------------------(2)
from (1) and (2)
x+5y=410
x+9y=498
________________
(1)-(2) =-4y=-88
y=22
x+5y=410
x+5*22=410
x=410-110=300
so the commison rate is 22% and daily wages is $300
Justins salary when he sells $3,400worth of merchandise is
x+y%of 3,400
=300+22%*3400
300+22*3400/100
300+22*34
=300+748 =$1048
Justines salary when he sells $3,400 is $1,048
RELATED QUESTIONS
As a salesperson at Trading Cards Unlimited Justin received a monthly commission on all... (answered by benazir.sj@gmail.com)

As a salesperson at Roaring Waves Beach Supplies, Carissa receives a monthly based pay... (answered by Theo)

A salesperson at Company Z makes 35% commission on all the items he or she sells. If... (answered by math_helper)

Asa a salesclerk at a clothing store, Mike receives a monthly salary of $800 plus a 5%... (answered by chosenpoint)

Benson sells vacuum cleaners on a commission. He earns $75 for each vacuum cleaner he... (answered by Alan3354)

Marks works as a salesman in a company that distributes top brands and the latest model... (answered by greenestamps)

A salesperson gets an 8% commission rate on all computers she sells. if she sells $12,000 (answered by rfer)

A door-to-door salesman gets 12% commission on the selling price for the first 20 kg that (answered by rapture1965)

a salesman makes a 5% commission on all he sells . how much does he have to sell to make... (answered by rfer)