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Canada has a population that is about 1/10 as large as the United States. If canada's population is about 32 million, about how many people live in United States?


Sagot :

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].

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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.