First set up jars to organize your work.
In the first jar:
x pounds of cashews sell for $1.90
Second jar:
100-x pounds of peanuts sell for $1.65
All that equals your third jar:
100lbs that sells for $1.75
The equation:
1.90x + 1.65(100-x) = 1.75 × 100
Solution:
1.90x + 165 - 1.65x = 175
1.90x - 1.65x = 175 - 165
0.25x = 10
x = 40 cashews
peanuts = 100 - x meaning peanuts = 100 - 40= 60
There are 60 peanuts and 40 cashews.