Peanuts, walnuts, and cashews are mixed by volume in the ratio 5:3:2, to make a party snack. The number of cups of walnuts needed to make 12 cups of party mix are between:
a) 1 and 2
b) 2 and 3
c) 3 and 4
d) 4 and 5
What do you think?
I think maybe 4 and 5, just not sure?
To find the number of cups of walnuts needed to make 12 cups of party mix, we first need to determine the total ratio of the mixture.
The given ratio is 5:3:2, which means that for every 5 parts of peanuts, we have 3 parts of walnuts and 2 parts of cashews.
To calculate the total number of parts in the mixture, we add the individual parts together: 5 + 3 + 2 = 10.
Now we can determine the fraction of the mixture that walnuts represent. Since walnuts account for 3 parts out of 10, we can calculate the fraction by dividing 3 by 10: 3/10.
To find the number of cups of walnuts needed for a 12-cup party mix, we multiply the fraction of walnuts by the total number of cups: (3/10) * 12 = 36/10 = 3.6 cups.
Based on our calculation, the number of cups of walnuts needed to make 12 cups of party mix is between 3 and 4. Therefore, the answer is option c) 3 and 4 cups.