\"\"

\

The cashews cost \"\" per pound, and the almonds cost \"\" per pound.

\

Lenora bought a total of \"\" pounds and paid a total of \"\".

\

Find the pounds of cashews and the pounds of almonds that Lenora purchased.

\

Let, \"\" be the number of pounds of cashews and \"\" be the number of pounds of almonds.

\

\"\" pounds of cashews and \"\" pounds of almonds costs \"\".

\

So, the equation is \"\".

\

Lenora bought \"\" pounds of cashews and almonds.

\

So, the equation is \"\".

\

Solve the equation.

\

\"\"                   (Original equation)

\

\"\"           (Substitute \"\")

\

\"\"           (Distributive property: \"\")

\

\"\"                   (Add: \"\")

\

\"\"   (Subtract \"\" from each side)

\

\"\"                       (Apply additive inverse property: \"\")

\

\"\"                  (Divide each side by \"\")

\

\"\"                               (Cancel common terms)

\

Hence, Lenora bought \"\" pounds of almonds.

\

\"\"                         (Substitute \"\")

\

\"\"             (Subtract \"\" from each side)

\

\"\"                               (Distributive property: \"\")

\

Therefore, Lenora bought \"\" pounds of cashews.

\

\"\"

\

Lenora bought \"\" pounds of cashews and \"\" pounds of almonds.