Question

Randall wants to mix 35 lb of nuts worth $2 per lb with some nuts worth $9 per Ib to make a mixture worth $8 per Ib. How many pounds of $9 nuts must he use?

Answer 1

Given:

Comparing the last row from the table,

`\begin{gathered} 8(35+x)=70+9x \\ 280+8x=70+9x \\ Collecting\text{ the like terms,} \\ 280-70=9x-8x \\ 210=x \\ x=210 \\ \end{gathered}`

Therefore, Randall must use 210 pounds of $9 nuts for the mixture.