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hram777 [196]
3 years ago
8

You have 10 cups of a cleaning solution that is 10% white vinegar and 90% water. You want the mixture to be 50% white vinegar an

d 50% water. How many cups of white vinegar do you need to add to the mixture?
____ cups
Mathematics
1 answer:
vichka [17]3 years ago
4 0
Whatever% of anything is just (whatever/100) * anything.

let's say we'll add "x" cups of pure vinegar, pure vinegar meaning is 100% vinegar.

how much vinegar is there in "x" cups of 100% vinegar?  well (100/100) * x, or just "x".

how much vinegar is there in 10 cups of 10% vinegar?  well, (10/100) * 10, or just 1.

say after adding the "x" cups to the 10 cups, we end up with "y" cups, of 50% of vinegar.

how much is 50% of y?  well, (50/100) * y or 0.5y.

bearing in mind that x+10 = y, both cups amounts added up, and that x+1=0.5y, both vinegar amounts added up, thus 

\bf \begin{array}{lccclll}
&\stackrel{cups}{amount}&\stackrel{vinegar~\%}{amount}&\stackrel{vinegar~cups}{quantity}\\
\textit{100\% vinegar}&x&1.00&x\\
\textit{10\% cups}&10&0.10&1\\
------&------&------&------\\
mixture&y&0.5&0.5y
\end{array}
\\\\\\
\begin{cases}
x+10=\boxed{y}\\
x+1=0.5y\\
----------\\
x+1=0.5\left( \boxed{x+10} \right)
\end{cases}
\\\\\\
x+1=0.5x+5\implies 0.5x=4\implies x=\cfrac{4}{0.5}\implies x=8
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butalik [34]

Answer:

S=H+2

Step-by-step explanation:

OK, so hailey is the variable H. And she is 2 years younger than her sister.

What is the age of her sister?

So we know it has to be, hailey's age + something? = age of her sister.

what is that +something? it's the number "2 years younger" so hailey's age; which is h, plus 2 is equal to her sister's age.

H+2=S

OK, why do we need to add 2? instead of minus two? Because hailey is 2 years younger than her sister, so you want hailey's age. If you were to minus 2, you'd be thinking that hailey is OLDER than her sister. Because if you want to her sister's age, you would have to SUBTRACT 2 because you are OLDER than her. So if you are younger than the sister, you would add to get your sister's age.

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The vertices of the trapezoid are the origin along with A(4p,4q), B(4r,4q), and C(4s,0). Find the midpoint of the midsegment of
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During a volleyball training session, Keela drank twice as much water as Carol, and Xavier drank 100 mL more water than Keela. B
vladimir2022 [97]

Answer:

580ml

Step-by-step explanation:

Let The quantity of water drank by Carol be x

Now given that Keela drank twice as much water as Carol which means the quantity of water drank by Keela is 2x

Also given that Xavier drank 100 mL more water than Keela which means the quantity of water drank by Xavier is 2x+100

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3 years ago
£60 is divided between Peter, Angad &amp; Nick so that Peter gets twice as much as Angad, and Angad gets three times as much as
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60£

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Peter = 2 Angard = 6 Nick

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Nick = 1 Nick

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