Step One: Review the givens
Step Two: Create an equation
178.5=2.90x+234.6-4.60x Subtract both sides by 234
178.5-234.6=2.90x-4.60x Combine like terms
-56.1=-1.7x Divide both sides by -1.7
∴There was 33 pounds of peanuts used and 18 pounds of cashews used.