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Dahasolnce [82]
3 years ago
6

One canned juice drink is20%

Mathematics
1 answer:
kozerog [31]3 years ago
8 0
So hmmm, first off, let us use the percentage in decimal format, so 20% is just 20/100 or 0.2 and so on

hmm thus \bf \begin{array}{lccclll}
&amount&concentration&
\begin{array}{llll}
concentrated\\
amount
\end{array}\\
&-----&-------&-----\\
\textit{20\% pineapple}&x&0.2&0.2x\\
\textit{40\% pineapple}&y&0.4y&0.4y\\
-----&-----&-------&-------\\
mixture&30&0.25&7.5
\end{array}

whatever the amounts of "x" and "y" are, we know they have to add up to 30Litres, thus   x + y = 30

and we also know the concentrated amount of pineapple, have to also add up to 7.5  thus   0.2x + 0.4y = 7.5

thus  \bf \begin{cases}
x+y=30\implies \boxed{y}=30-x\\
0.2x+0.4y=7.5\\
----------\\
0.2x+0.4\left( \boxed{30-x} \right)=7.5
\end{cases}

solve for "x", to see how much of the 20% pure juice will be used

what about "y"?  well, y = 30 - x
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