Mathematics, 25.08.2019 00:30 shay8850

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

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Answer from: hdhtvthjr

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.

x+y=40 .....(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.

x=9y ......(2)

Put x=9y in equation (1).

$9y+y=40\\10y=40\\y=4$

Put y=4 in equation (1).

$x+4=40\\x=36$

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

Answer from: karlaperez8963

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. substitution2. elimination3. graph4. mix

Steps for completion with the substitution method:

1. change one of the equations to the form y = ax + b or x = ay + b2. substitution the value of x / y to another equation3. solve the equation4. 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

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The work of a student to solve a set of equations

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

Rafael counted a total of 40 white cars and yellow cars there were 9 times as many white cars as yel

Answer from: Quest

The answer is 9.7 cm

Answer from: Quest

my dear correct answer is option number 3

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