Tandralwaysidn
Answered

Find answers to your questions and expand your knowledge with IDNLearn.com. Explore thousands of verified answers from experts and find the solutions you need, no matter the topic.

Rafael counted a total of 40 white cars and yellow cars there were 9 times as many white cars as yellow car how many white cars did Rafael count

Sagot :

Solution: The number of white cars counted by Rafael is 36.

Explanation:

Let the number of white cars be x and number of yellow cars be y.

It is given that the total number of yellow and white cars counted by rafael is 40.

[tex]x+y=40[/tex]     .....(1)

According to the given information he counts 9 times as many white cars as yellow car. It means the number of white cars counted by rafael is 9 times of the yellow cars.

[tex]x=9y[/tex]        ......(2)

Put  [tex]x=9y[/tex] in equation (1).

[tex]9y+y=40\\10y=40\\y=4[/tex]

Put [tex]y=4[/tex] in equation (1).

[tex]x+4=40\\x=36[/tex]

Since x is the number of white cars, therefore number of white cars counted by Rafael is 36.

Ardni313idn

White cars did Rafael count = 36 cars

Further explanation

A two-variable linear equation system is an equation that involves 2 variables (the value that can change) and the equation has the highest rank of 1

In this equation system there are coefficients and variables whose solutions can use:

  • 1. substitution
  • 2. elimination
  • 3. graph
  • 4. mix

Steps for completion with the substitution method:

  • 1. change one of the equations to the form y = ax + b or x = ay + b
  • 2. substitution the value of x / y to another equation
  • 3. solve the equation
  • 4. substitution results from point 3 in one equation

       In the statement of the question mentioned Rafael counted the number of white cars and yellow cars = 40 pieces so that the equation:

w + y = 40 ---- equation 1

w = white car

y = yellow car

Then Rafael concluded that white cars were nine times the yellow cars, so the equation was

w = 9y ... equation 2

So that the solution

  • 1. equation 2, we enter into equation 1

9y + y = 40

10 y = 40

y = 4

  • 2. We enter the value of y into one of the equations

w = 9y

w = 9.4

w = 36

So we get 36 white cars

Learn more

the substitution method

https://brainly.com/question/11705106

https://brainly.com/question/7162056

The work of a student to solve a set of equations

https://brainly.com/question/10589573

Keywords: the substitution method, elimination, graph, a two-variable linear equation system

View image Ardni313
We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Thank you for choosing IDNLearn.com for your queries. We’re here to provide accurate answers, so visit us again soon.