109k views
4 votes
In a 500 g bag of trail mix, the ratio of raisins to peanuts to cashews is 9 : 6 :1 by mass. Determine the masses of raisins, peanuts, and cashews in a 2 kg bag.

2 Answers

3 votes
So add the ratio together and then divide the pack amount by the ratios added together to find what 1 part is, then times each ratio by 1 part to find out how much it is
Bad explaining but hope the photo helps!
In a 500 g bag of trail mix, the ratio of raisins to peanuts to cashews is 9 : 6 :1 by-example-1
User Fixermark
by
5.9k points
7 votes

Answer with Step-by-step explanation:

The ratio of raisins to peanuts to cashews is 9 : 6 :1 by mass.

Let Mass of raisins=9x

Mass of peanuts=6x

and mass of cashews=x

Then, 9x+6x+x=2000

16x=2000

x=125 g

Mass of Raisins=9×125=1125 g

Mass of peanuts=6×125=750 g

and Mass of cashews= 125 g

Hence, Masses of raisins, peanuts, and cashews in a 2 kg bag is:

1125 g , 750 g and 125 g

User Samsquanch
by
6.3k points