Respuesta :
You will need to buy 1/2 a pound of cashews and 1/2 a pound of peanuts
Answer:
5 pounds
Step-by-step explanation:
Let x pounds of cashews mixed with 5 pounds of peanuts,
So, the quantity of the resultant mixture( in pounds ) = x + 5,
∵ total cost of x pounds of cashew + total cost of 5 pounds of peanuts = total cost of the mixture,
Also, x pounds of cashew costs $14 per pound, 5 pounds of peanuts costs $ 6.50 and the mixed nuts cost $ 10.25,
⇒ 14x + 5(6.5) = 10.25(x+5)
⇒ 14x + 32.5 = 10.25x + 51.25
⇒ 14x + 32.5 - 10.25x = 51.25
⇒ 3.75x = 51.25 - 32.5
⇒ 3.75x = 18.75
⇒ x = 5
Hence, 5 pounds of cashews would be mixed.
