Question

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

Answer 1

The answer is 1/3 or .3333

Answer 2

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

`(2)/(6)=(4)/(12)`

if we make cross product, we get:

`\begin{gathered} (2)/(6)=(4)/(12) \\ \Rightarrow2\cdot12=6\cdot4 \\ \Rightarrow24=24 \end{gathered}`

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