159k views
4 votes
A store manager combines 2 lb of trail mix that contains some cashew nuts with 30 lb

of trail mix that is 20% cashews. The result is a trail mix that is 25% cashews. What is the concentration of cashews in the first mixture?

User Rayleone
by
3.6k points

2 Answers

1 vote

Answer:

100%

Explanation:

I solved it and it was correct lol

User Charles Bryant
by
3.7k points
7 votes

Answer:

100%

Explanation:

Let p = percent of cashews in first mix

2p = lb. of cashews in first mix

30(.20) = 6 = lb. of cashews in second mix

32(.25) = 8 = lb. of cashews in the combined mix

So,

lb. of cashews in first mix + lb. of cashews in second mix = lb. of cashews in the combined mix

2p + 6 = 8

2p = 2

p = 1 = 100%

User Anuradha Fernando
by
3.7k points