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Sagot :
Let be "x" the number of bottles of sparkling water that the company produces when it produces 600 bottles of plain water.
a. You know that the factory produces 3 bottles of sparkling water for every 8 bottles of plain water.
Therefore, knowing that it produces 600 bottles of plain water, you can write the following proportion:
[tex]\frac{3}{8}=\frac{s}{600}[/tex]Solve for "s" :
[tex]\begin{gathered} (\frac{3}{8})(600)=x \\ \\ \frac{1800}{8}=x \\ \\ x=225 \end{gathered}[/tex]b. Knowing that the ratio is:
[tex]3\colon8[/tex]You can set up the following equation:
[tex]\begin{gathered} 3s=8p \\ \\ s=\frac{8}{3}p \end{gathered}[/tex]Where "s" is the number of bottles of sparkling and "p" is the number of bottles of plain water. ​
Therefore, the answers are:
a. 225 bottles of sparkling water.
b.
[tex]s=\frac{8}{3}p[/tex]
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