Intermediate Algebra (Math)
posted by Lyri on .
Mixed nuts. Oh Nuts! sells pistachio kernels for $6.50 per pound and almonds for $8.00 per pound. How much of each type should be used to make a 50lb mixture that sells for $7.40 per pound?
So far I have, this:
6.50x + 8 (50  x) = 7.40 (50)
6.50x + 400  8x = 370
1.50x + 400 = 370
1.50x = 30
x = 30/=1.50
x = 30 pounds of pistachios
so
50  x = 50  30 = 20 pounds of almonds.
Can anyone help to let me know if I got his correct or not or please tell me where I went wrong. Math is not one of my strongest subjects and any help would be great.... Thanks in advance........

You are good up until here..
1.50x + 400 = 370 (this is correct)
Then when you subtract 400 from both sides you get
1.50x=30
Divide both sides by 1.5
x=20 lbs of pistachios, and 30 lbs of almonds 
from ..
1.50x + 400 = 370
1.5x = 30
x = 30/1.5 = 20
so 20 pounds of pistachio
and 5020 or 30 pounds of almonds