IDNLearn.com offers a comprehensive solution for finding accurate answers quickly. Our platform is designed to provide trustworthy and thorough answers to any questions you may have.
Sagot :
Answer:
[tex]\textsf{a) \quad Let $x$ be the number of manicure/pedicures per month}.[/tex]
[tex]\textsf{b)} \quad 60x-1800=45x-1200[/tex]
[tex]\textsf{c) \quad $x=40$}[/tex]
d) The two salons will need to do 40 manicures/pedicures each month to make the same profit at each location per month.
Step-by-step explanation:
Part (a)
Definition of the variables:
- Let x be the number of manicure/pedicures per month.
- Let y be the total profit (n dollars).
Part (b)
Create an equation for each location.
Location A
The rent at Location A is $1200 per month and they will charge $45 per manicure/pedicure:
[tex]\boxed{y = 45x - 1200}[/tex]
Location B
The rent at Location B is $1800 per month and they will charge $60 per manicure/pedicure:
[tex]\boxed{y = 60x - 1800}[/tex]
To determine the number of treatments the two salons will need to give to make the same profit at each location, substitute the second equation into the first equation:
[tex]\boxed{60x-1800=45x-1200}[/tex]
Part (c)
Solve the equation from part (b):
[tex]\implies 60x-1800=45x-1200[/tex]
[tex]\implies 60x-1800-45x=45x-1200-45x[/tex]
[tex]\implies 15x-1800=-1200[/tex]
[tex]\implies 15x-1800+1800=-1200+1800[/tex]
[tex]\implies 15x=600[/tex]
[tex]\implies 15x\div 15=600 \div 15[/tex]
[tex]\implies x=40[/tex]
Part (d)
The two salons will need to do 40 manicures/pedicures each month to make the same profit at each location.
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Your search for solutions ends at IDNLearn.com. Thank you for visiting, and we look forward to helping you again.