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VARVARA [1.3K]
3 years ago
12

You usually buy a 5.4 ounce bottle of lotion. There is a new bottle that says it gives you 20% more free.

Mathematics
2 answers:
Leya [2.2K]3 years ago
8 0

Answer:

5.4 x 1.2[+20%] = a

a= 6.48

Step-by-step explanation:

777dan777 [17]3 years ago
4 0

Answer:   x= 0.20(5.4) or x=0.20 (5.4 ounces).

Step-by-step explanation:

Given : You usually buy a 5.4 ounce bottle of lotion.

There is a new bottle that says it gives you 20% more free.

i.e. Size of new bottle = 20% of  5.4 ounces

= 0.20 (5.4 ounces)  [we divide percentage by 100 to convert it into decimal]

Also, the size of the larger bottle is given to be x.

i.e. x=0.20 (5.4 ounces)

On solving , we get

x= 1.08 ounces

Hence, required equation is x= 0.20(5.4) or x=0.20 (5.4 ounces).

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\bf \begin{array}{lccclll}
&\stackrel{gallons}{acid}&\stackrel{acid~\%}{quantity}&\stackrel{acid~gallons}{quantity}\\
&------&------&------\\
\textit{pure acid}&x&1.00&x\\
\textit{20\% sol'n}&6&0.20&1.2\\
------&------&------&------\\\
mixture&y&0.90&0.9y
\end{array}
\\\\\\
\begin{cases}
x+6=\boxed{y}\\
x+1.2=0.9y\\
----------\\
x+1.2=0.9\left( \boxed{x+6} \right)
\end{cases}
\\\\\\
x+1.2=0.9x+5.4\implies x-0.9x=5.4-1.2\implies 0.1x=4.2
\\\\\\
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