At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.
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.
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.
