How many pounds of cashew nuts worth 75 cents a pound must be mixed with 10 pounds of pecans worth $1.50 a pound to make a mixture worth $1.00 a pound?

Which of the equations could be used to solve for p, the pounds of cashew nuts?

Question

How many pounds of cashew nuts worth 75 cents a pound must be mixed with 10 pounds of pecans worth $1.50 a pound to make a mixture worth $1.00 a pound?

Which of the equations could be used to solve for p, the pounds of cashew nuts?

anonymous · Answer

Is this exactly what the question asked? I have the right idea however I'm unfortunately getting very confused. I know you have to make up an equation so what answer choices were you given?

whpalmer4 · Answer

okay, if the number of pounds of cashew nuts is represented by $p$:

$$0.75p =$ the value of the cashew nuts
$$1.5*10 =$ the value of the 10 lbs of pecans

$$0.75p + $1.5*10 =$ total value of the nuts
the total value of the nuts is $$1*(10 + p)$  (10 pounds of pecans, $p$ pounds of cashews)

Set those two expressions equal to each other and solve for $p$