Answer: Stan should use 1 cup of raisins, 1/2 cup of chocolate chips, and 1 1/2 cups of almonds to keep the ratios of the recipe equivalent.
Step-by-step explanation: To determine which student is running at the fastest rate, we need to look for the student with the shortest time. In this case, Toby is running at the fastest rate because he takes only 4 minutes to run 1 mile.
Now let's consider Jillian's attempt to make the cross country team by running 3 miles in less than 40 minutes. We know that Jillian's time to run 1 mile is 12 minutes. To determine if she will make the team, we need to calculate her total time to run 3 miles.
Since she takes 12 minutes to run 1 mile, her total time to run 3 miles would be 12 minutes multiplied by 3, which equals 36 minutes. Since 36 minutes is less than 40 minutes, Jillian will make the team.
Regarding the recipe for Stan's trail mix, he has 1 cup of raisins and wants to use the entire cup. To keep the ratios of the recipe equivalent, we can use the given ratios to determine the amounts of chocolate chips and almonds.
The ratio of raisins to chocolate chips is 1:1/2, which means for every 1 cup of raisins, we need 1/2 cup of chocolate chips. So, in this case, Stan should use 1/2 cup of chocolate chips.
The ratio of raisins to almonds is 1:1 1/2, which means for every 1 cup of raisins, we need 1 1/2 cups of almonds. So, Stan should use 1 1/2 cups of almonds.
To summarize, Stan should use 1 cup of raisins, 1/2 cup of chocolate chips, and 1 1/2 cups of almonds to keep the ratios of the recipe equivalent.
I hope this helps!