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andreyandreev [35.5K]
3 years ago
5

36/100 simplified in simple form

Mathematics
1 answer:
Ludmilka [50]3 years ago
7 0

Hello from MrBillDoesMath!


Answer:  9/25


Discussion:

My first observation is that both 36 and 100 are even numbers, so let's divide each by 2.

36/100 = 18/50

Again, 18 and 50 are even numbers so let's divided each by 2

= 18/50 =  9/25

While I didn't write it out, my statement "divide them by 2" is really this:

36/100 =   ( 36/2) / (100/2)  = (18) /50 = ( 18/2) / (50/2) = 9/25

Confusing, isn't it!

A shorter, but equivalent, approach is to divide the numerator and denominator by 4.



Regards, MrB.



 


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For his troops' popcorn fundraiser sale, Mike sold caramel corn for $10, buttered microwave popcorn for $8, and lightly buttered
Bad White [126]
\bf \begin{cases}
c=\textit{caramel corn}\\
b=\textit{buttered microwave popcorn}\\
p=\textit{lightly buttered popcorn}
\end{cases}

so... he sold 400 items, that means, whatever those quantities of c,b,p are, they add up to 400, thus

c+b+p = 400

now, the "c" sold for $10
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and the "p" sold for $7

so, the amount of revenue on the "c" is 10 * c, or 10c
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now, he sold more lightly buttered, or "p", than just buttered corn or "b"
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thus      \bf \begin{cases}
c+b+\boxed{p}=400\\\\
\boxed{p}=2b\qquad thus\\\\
c+b+\boxed{2b}=400\qquad or\\\\
c+3b=400\implies c=\underline{400-3b}\\
--------------\\
10c+8b+7p=3272\qquad or\\\\
10(\underline{400-3b})+8b+7(\boxed{2b})=3272
\end{cases}

solve for "b", to see how many buttered microwave popcorn Mike sold

how many lightly buttered?  well, p = 2b
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