Stojanovicleonardo04idn
Answered

From science to arts, IDNLearn.com has the answers to all your questions. Our platform offers reliable and detailed answers, ensuring you have the information you need.

URGENT!!! 100 POINTS WILL GIVE BRAINLIEST, PLEASE DONT JUST PUT SOMETHING FOR POINTS a nail salon is looking to open a new location. The rent at Location A is $1200 per month and they will charge $45 per manicure/pedicure. The rent at Location B is $1800 per month and they will charge $60 per manicure/pedicure. How many manicure/pedicure will they need to do to make the same profit at each location?

a. Write a let-statement defining your variable.

b. Write an equation in one variable to solve.

c. Show work to solve the equation.

d. Write a sentence for your final answer.​

Sagot :

Semsee45idn

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.

We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Thank you for visiting IDNLearn.com. We’re here to provide dependable answers, so visit us again soon.