YAAAAPEEE
contestada

6. A business rents bicycles and in-line skates Bicycle rentals cost $30 per day, and in-line skate rentals cost $20 per day. The business has 25 rentals and makes $650. c. Write a system of linear equations that represents this situation. d. How many bicycle rentals and in-line skate rentals did the business have today?​

Respuesta :

Snor1ax

Answer: 15 bicycle rentals and 10 skate rentals

Step-by-step explanation:

Let s represent the amount of skate rentals

Let b represent the amount of bicycle rentals

s + b = 25 --> Equation to represent amount of rentals per day

b = 25 - s  --> Solved for b so it can be substituted

30b+20s=650 --> Equation to represent price per rental per day

Substitute equation 1 into equation 2:

[tex]30b+20s=650[/tex]

[tex]30\left(25-s\right)+20s=650[/tex]

[tex]750-30s+20s=650[/tex]

[tex]750-10s=650[/tex]

[tex]750-10s-750=650-750[/tex]

[tex]-10s=-100[/tex]

[tex]\frac{-10s}{-10}=\frac{-100}{-10}[/tex]

[tex]s=10[/tex]

Substitute s = 10 into equation 1:

[tex]\left(10\right)\:+\:b\:=\:25[/tex]

[tex]10+b-10=25-10[/tex]

[tex]b=15[/tex]

Therefore, the business had 15 bicycle rentals and 10 skate rentals

sqdancefan

Answer:

  • 15 bicycle rentals
  • 10 in-line skate rentals

Step-by-step explanation:

The system of equations will reflect the relations for the total number of rentals, and the total revenue. Let b and s represent the number of bicycle and skate rentals, respectively. We are told the relations are ...

  b + s = 25 . . . . . . 25 rentals

  30b +20s = 650 . . . . . . money from those rentals

__

It is convenient to solve these equations by substitution. The first equation can be solved for s:

  s = 25 -b

And that can be substituted into the second equation:

  30b +20(25 -b) = 650 . . . . . substitute for s

  10b +500 = 650 . . . . . . simplify

  10b = 150 . . . . . . . subtract 500

  b = 15 . . . . . . . divide by 10; the number of bike rentals

  s = 25 -15 = 10 . . . . find the number of skate rentals

The business had 15 bicycle rentals and 10 in-line skate rentals today.

Otras preguntas