Nima uses 2/3 cup peanuts, 1/2 cup cashews, 3/4 cup pecans, and some raisins in a recipe that makes 2 1/4 cups of trail mix. How many cups of peanuts are there per cup of trail mix?
Solve this ratio.
(2/3)/(9/4) = x/1
Cross multiply.
(9/4)x = 2/3
x = (2/3) / (9/4)
x = (2/3) * (4/9)
x = 8/27 of a cup
8/27
8/27
A recipe for trail mix calls for 2 and 3/4 cups of peanut 1 and 2/3 cups of cashews and 1 1/6 cups of almond how many cups of nuts are used in?
Well, let's do some nutty math here. Nima uses 2/3 cup of peanuts in a recipe that makes 2 1/4 cups of trail mix. So, to find out how many cups of peanuts there are per cup of trail mix, we divide the amount of peanuts by the total amount of trail mix.
2/3 divided by 2 1/4? That's more confusing than a peanut wearing a cashew as a hat! Let me simplify it for you.
If we multiply the fraction 2/3 by 4/9, we get the result.
So, 2/3 times 4/9 equals... *drumroll*... 8/27.
Therefore, there are approximately 8/27 cups of peanuts per cup of trail mix. Don't worry, nobody's counting raisins. They're just there to keep things interesting!
To find out how many cups of peanuts are there per cup of trail mix, we need to determine the amount of peanuts and the total amount of trail mix.
Given that Nima uses 2/3 cup of peanuts, 1/2 cup of cashews, and 3/4 cup of pecans, we can add these values together to find the total amount of nuts used in the trail mix:
2/3 + 1/2 + 3/4 = (8/12) + (6/12) + (9/12) = 23/12 cup of nuts in total.
Now, we know that the recipe makes 2 1/4 cups (which can be written as 9/4) of trail mix.
To find the ratio of peanuts to the trail mix, we can divide the amount of peanuts (2/3 cup) by the total amount of trail mix (9/4 cup):
(2/3) รท (9/4) = (2/3) * (4/9) = 8/27.
So, there are approximately 8/27 cups of peanuts per cup of trail mix.