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never [62]
3 years ago
9

Im really confused! How do i figure out this problem:

Mathematics
2 answers:
Vesna [10]3 years ago
6 0

Make an equation out of the statement "51 is 6% of what number".

Remember:
-- 6%  means 0.06
-- "is" means the same as "equals"
-- in math, "of" almost always means "times"

Give the answer a label, and you'll be ready to begin.
Let's call it ' M ' for "mystery number".

                       51    is    6%    of    (the answer)

                       51    =   0.06    x         M   

Can you solve that equation and find out what ' M ' is ?

What if you divide each side by  0.06 ?
Then it says
                       51 / 0.06    =    M

Pick up your pencil or your calculator, and divide 51 by 0.06 .
You get  850 .  Now your equation says

                             850  =  M

Isn't that exactly what you want ?
It says 'Mystery number' is  850 .

Try it on your calculator.
Take  6%  of  850 .  You'll get  51, just like the problem says.

EleoNora [17]3 years ago
5 0

<span><span>Okay, so let's start by setting up this problem:
</span>(original number=x)(percentage=.06)=(percentage of original number)</span>
So it should look like this:
<span>(x)(.06)=51 Now we should divide .06 from each side
</span><span>x=850 And there we go! 850 is the answer.
i hope this help
</span>

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The answer is C: 10\text{ }^1/_2. Here are the details:

\text{Equation:}\\ 6\text{ }^1/_3+10\text{ }^1/_2\stackrel{?}{=}26\text{ }^1/_6\\ \\ \text{Start with the integers.}\\ 6+10=16\stackrel{?}{=}26\text{ }^1/_6\\ \\ \text{...then with the fractions, but rewrite them first to make it easier.}\\ ^1/_3+\text{ }^1/_2\stackrel{\text{rewrite}}{\to}\text{ }^2/_6+\text{ }^3/_6=\text{ }^5/_6\stackrel{?}{=}26\text{ }^1/_6\\&#10;\\&#10;\text{Add 'em up!}\\&#10;16\text{ }^5/_6

\text{Equation:}\\&#10;16\text{ }^5/_6+3\text{ }^5/_6\stackrel{?}{=}26\text{ }^1/_6\\&#10;\\&#10;\text{Start with the integers.}\\&#10;16+3=19\stackrel{?}{=}26\text{ }^1/_6\\&#10;\\&#10;\text{...then with the fractions, but rewrite them first to make it easier.}\\&#10;^5/_6+\text{ }^5/_6=\text{ }^{10}/_6\stackrel{\text{rewrite}}{\to}\text{ }^5/_3\stackrel{\text{rewrite}}{\to}1\text{ }^2/_3\stackrel{?}{=}26\text{ }^1/_6\\&#10;\\&#10;\text{Add 'em up!}\\&#10;20\text{ }^2/_3

\text{Last equation:}\\ 20\text{ }^2/_3+5\text{ }^1/_2\stackrel{?}{=}26\text{ }^1/_6\\ \\ \text{Start with the integers.}\\ 20+5=25\stackrel{?}{=}26\text{ }^1/_6\\ \\ \text{...then with the fractions, but rewrite them first to make it easier.}\\ ^2/_3+\text{ }^1/_2\stackrel{\text{rewrite}}{\to}\text{ }^4/_6+\text{ }^3/_6=\text{ }^7/_6\stackrel{\text{rewrite}}{\to}1\text{ }^1/_6\stackrel{?}{=}26\text{ }^1/_6\\&#10;\\&#10;\text{Add the integer and fraction together.}\\&#10;25+1\text{ }^1/_6\stackrel{?}{=}26\text{ }^1/_6

26\text{ }^1/_6\stackrel{\checkmark}{=}26\text{ }^1/_6
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