Question 173475
let the number of peanuts, cashews, and raisens be p,c,and r respectively
:
p+c+r=9........eq 1----->r=9-p-c
1.5p+2c+1r=13..eq 2
p=2c...........eq 3
:
lets plug p's value in eq 3 into eq 1 and 2 and re write them
:
2c+c+r=9.........eq (4)
1.5(2c)+2c+r=13..eq (5)
:
3c+r=9.... eq (4)
5c+r=13... eq (5)
:
now lets subtract eq 5 from eq 4
:
-2c=-4
:
{{{highlight(c=2)}}}pounds of cashews
:
{{{highlight(p=2c=2(2)=4)}}}pounds of peanuts
:
{{{highlight(r=9-p-c=9-2-4=3)}}}pounds of raisens