ALGEBRA 2, 2012
62

 PAGE: 17 SET: Exercises PROBLEM: 62

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: )

(Subtract from each side)

(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.

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