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The table shows the amount of sugar and the amount of water used in the fall by beekeepers to help their bees produce honey and survive through fall a winter months. 6 15 18 sugar (cups) water (cups) 4 10 12 18 How many cups of sugar is needed when 18 cups of water is used to make the mixture? Enter your answer in the box. cups of sugar

Answer :

we can find a ratio to calculate the relation between the numbers

[tex]\frac{6}{4}=\frac{3}{2}[/tex][tex]\frac{15}{10}=\frac{3}{2}[/tex][tex]\frac{18}{12}=\frac{3}{2}[/tex]

now, keeping the ratio

[tex]\frac{x}{18}=\frac{3}{2}[/tex]

and solve x

[tex]\begin{gathered} \frac{x}{18}=\frac{3}{2} \\ x=\frac{3\times18}{2} \\ x=27 \end{gathered}[/tex]

needed 27 cups of sugar to 18 cups of water

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