SOLUTION: Michael gets paid £y per week for his paper round after four weeks he gets paid but £2 is deducted for lateness. write an expression for the amount Michael gets. when he opens hi

Question 1190069: Michael gets paid £y per week for his paper round after four weeks he gets paid but £2 is deducted for lateness. write an expression for the amount Michael gets. when he opens his pay packet he finds he has been paid £22 write and solve an equation to find out how much Michael is paid per week
Answer by math_tutor2020(3816) (Show Source): You can put this solution on YOUR website!

y = amount he is paid per week (in pounds)
4y = amount he is paid over 4 weeks total, ignoring the penalty fee
4y-2 = now accounting for the 2 pound deduction

The amount Michael is paid is 4y-2 pounds.
He finds out he's actually paid 22 pounds.
Set those two expressions equal to one another and solve.

4y-2 = 22
4y = 22+2
4y = 24
y = 24/4
y = 6
Michael is paid 6 pounds per week

If he wasn't penalized, then he'd get paid 4y = 4*6 = 24 pounds over the four week period.
However, he's penalized those 2 pounds to get paid 24-2 = 22 pounds instead.
This matches with what your teacher gave you, so it confirms the answer.

RELATED QUESTIONS
Kevin wants to purchase a new snowboard for winter. It costs $300. It is now September.... (answered by solver91311)

Ben tutors in the math lab. He gets paid $8 per hour for the first 15 hour and $10 per... (answered by dkppathak)

Lita walks 5 dog 6 days a week. She gets paid the same amount for each dog she walks. In... (answered by josgarithmetic)

Michael borrowed $445 from his parents to make some repairs on his car. He promised to... (answered by Boreal)

Michael mows lawns for his summer job. He only averages three lawns a week for the first... (answered by ankor@dixie-net.com)

Michael mows lawns for his summer job. He only averages three lawns a week for the first... (answered by jorel1380)

Matt is paid $14.75 an hour. He gets paid time-and-a-half for each overtime hour he works (answered by josmiceli)

Malden is paid $14.75 an hour. He gets paid time-and-a-half for each overtime hour he... (answered by fractalier)

Leroy is paid $12 per hour .He worked 16 1/2 hours what is his salary for one... (answered by sujatha.krishna)