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 50-lb mixture that sells for $7.40 per pound?

Question

So far I have, this:
6.50x + 8 (50 - x) = 7.50 (50)
6.50x + 400 - 8x = 375
-1.50x + 400 = 375
-1.50x = 25
x = 25/=1.50
x = 20 pounds of pistachios

so

50 - x = 50 - 20 = 30 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....

Answer 1

Your first row should be:
6.5x + 8(50-x) = 7.4(50)

Answer 2

x=20