Answer :
Let
x--------> Canada's population
y--------> United States's population
we know that
[tex]x=32,000,000\ people[/tex] -------> equation [tex]1[/tex]
[tex]x=\frac{1}{10}y[/tex]
Solve for y
[tex]y=10x[/tex] -------> equation [tex]2[/tex]
Substitute equation [tex]1[/tex] in equation [tex]2[/tex]
[tex]y=10*32,000,000[/tex]
[tex]y=320,000,000\ people[/tex]
therefore
the answer is
United States's population is about [tex]320,000,000\ people[/tex]
The total population of United States is [tex]\boxed{\bf 320\text{\bf\ million}}[/tex] or [tex]\boxed{320,000,000}[/tex].
Further explanation:
The objective is to determine the population of United States.
Consider the total population of Canada as [tex]x[/tex] and the total population of United States as [tex]y[/tex].
In the question it is given that the total population of canada is [tex](\frac{1}{10})^{th}[/tex] of the total population of United States.
As per the above statement the equation formed is as follows:
[tex]\fbox{\begin\\\ \math x=\dfrac{1}{10}\times y\\\end{minispace}}[/tex]....(1)
The current population of Canada is given as [tex]32\text{ million}[/tex] or [tex]32,000,000[/tex].
This implies that the value of [tex]x[/tex] is as follows:
[tex]\boxed{x=32000000}[/tex]
To obtain the total population of United States substitute [tex]x=32,000,000[/tex] in equation (1).
[tex]\begin{aligned}32,000,000&=\dfrac{1}{10}\times y\\y&=32,000,000\times 10\\y&=320,000,000\end{aligned}[/tex]
From the above calculation it is concluded that the total population of United States is [tex]320\text{ million}[/tex] or [tex]320,000,000[/tex].
Thus, the total population of United States is [tex]\boxed{\bf 320\text{\bf\ million}}[/tex] or [tex]\boxed{320,000,000}[/tex].
Learn more:
1. A problem to complete the square of quadratic function: https://brainly.com/question/12992613
2. A problem to determine the slope intercept form of a line: https://brainly.com/question/1473992
3. Inverse function: https://brainly.com/question/1632445
Answer details
Grade: Middle school
Subject: Mathematics
Chapter: Fraction
Keywords: Equation, linear equation, fraction, multiplication, population, United States, Canada, 32 million, 32,000,000, 1/10 as large, mathematics.
