At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
[tex]x-\ yellow\ cars\\\\
9x-\ white\ cars\\\\
x+9x=40\\\\
10x=40\ \ \ |Divide\ by\ 10\\\\
x=4\\\\
There\ were\ 4\ yellow\ cars\ and\ 36\ white\ cars.[/tex]
The number of white cars that Rafeal counted is [tex]\boxed{\bf 36}[/tex].
Further explanation:
It is given that the total number of white and yellow cars is [tex]40[/tex] and the number of white cars is [tex]9\text{ times}[/tex] the number of yellow cars.
Suppose the number of white cars is denoted by [tex]x[/tex] and the number of yellow cars is denoted by [tex]y[/tex].
Now we can form two equation with the given information.
The sum of the white and yellow cars is [tex]40[/tex] that means the summation of [tex]x[/tex] and [tex]y[/tex] is [tex]40[/tex] and in the equation form it can be written as follows:
[tex]\boxed{x+y=40}[/tex] .....(1)
Now for the formation of second equation the information which is given is the white cars are [tex]9\text{ times}[/tex] as many as yellow cars. So the second equation is formed as follows:
[tex]\boxed{x=9y}[/tex] .....(2)
Now substitute the value of [tex]x[/tex] from equation (2) to equation (1) to obtain the value of [tex]y[/tex] as follows:
[tex]\begin{aligned}9y+y&=40\\10y&=40\\y&=\dfrac{40}{10}\\y&=4\end{aligned}[/tex]
From the above calculation the value of [tex]y[/tex] is [tex]4[/tex] which means the number of yellow car is [tex]4[/tex].
Now substitute the above value of [tex]y[/tex] in equation (2) to obtain the value of [tex]x[/tex] as follows:
[tex]\begin{aligned}x&=9y\\&=9\cdot 4\\&=36\end{aligned}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]36[/tex].
This implies that the total number of white cars is [tex]36[/tex].
From the above solution it is concluded that the number of white cars counted by Rafael is [tex]\boxed{\bf 36}[/tex].
Learn more:
1. Learn more about the simplified form: https://brainly.com/question/1602237
2. Problem on equation: https://brainly.com/question/4691222
3. Problem on to find the value in an equation: https://brainly.com/question/1900154
Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Linear equations
Keywords: Equation, white car, yellow car, counting, number, Rafael, total, variables, x, y, 40, 9, summation, substitution, division, notation, nine times.
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.
