Question 112478
Let x=cost per pound of peanuts
And let y=cost per pound of cashews

Now we are told the following:
30x+20y=$203-----------------------eq1
and
40x+60y=$484--------------------------eq2

Divide each term in eq2 by 4

10x+15y=$121-------------------eq2a

Now multiply eq2a by 3
30x+45y=$363--------------------eq2b

subtract eq1 from eq2b:

25y=$160  divide both sides by 25

y=$6.40 -------cost per pound of cashews

substituting into eq2a, we get:

10x+15($6.40)=$121
10x+$96=$121  subtract $96 from both sides

10x=$25  divide both sides by 10
x=$2.50----------------cost per pound of peanuts

CK
30(2.50)+20(6.40)=203

75+128=203
203=203
and
40(2.50)+60(6.40)=484
100+384=484
484=484


Hope this helps--ptaylor