Question 158765

Let x=amount of peanuts 
and y=amount of cashews
and z =amount of raisins

Now we are told that:
x+y+z=10--------------------------------eq1 
we are also told that:
2y=x------------------------------------eq2
and

($ are understood)
1.5x+y+z=12-----------------------------eq3

subtract eq1 from eq3 and we get
0.5x=2 divide each side by 0.5
x=4 lb----------------------------------amount of peanuts used
substitute x=4 into eq2 and we get:
2y=4 divide each side by 2
y=2 lb------------------------------------------amount of cashews used

substitute x=4 and y=2 into eq1 and we get

4+2+z=10 or
6+z=10  subtract 6 from each side
6-6+z=10-6
z=4 lb--------------------------------------------amount of raisins used

CK
4+2+4=10
10=10
and
(1.5)*4+2+4=12
6+2+4=12
12=12

Hope this helps---ptaylor