26. This double number line diagram represents the ratio of peanuts toraisins in trail mix.Peanuts +6+181224Raisins68What is the unit rate for the ratio of peanuts to raisins?3

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31-10-2022
Mathematics

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26. This double number line diagram represents the ratio of peanuts toraisins in trail mix.Peanuts +6+181224Raisins68What is the unit rate for the ratio of peanuts to raisins?3

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PaytienceY102227 PaytienceY102227 · Answer 1 · 2022-10-31T20:33:49-04:00

Notice that on the number line we relate two points of each line (peanuts and raisins) to write the following proportions:

[tex]\frac{2}{6}=\frac{4}{12}[/tex]

if we make cross product, we get:

[tex]\begin{gathered} \frac{2}{6}=\frac{4}{12} \\ \Rightarrow2\cdot12=6\cdot4 \\ \Rightarrow24=24 \end{gathered}[/tex]

we have that 24=24, which is always true. This means that we wrote correctly the ratios, therefore the unit rate for the ratio of peanuts to raisins is 3:1 or 1/3

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