Price Mixing

Algebra Level 2

A candy store currently sells almonds for $8.50 per kilogram and peanuts for $4.50 per kilogram. It wants to create 20 kilograms of mixed nuts that will equivalently sell for $5.30 per kilogram. How many kilograms of almonds should they use?


The answer is 4.

Arron Kau by Arron Kau

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1 solution

Arron Kau Staff
May 13, 2014

Let there be x x kilograms of almonds used, so there are 20 − x 20-x kilograms of peanuts used. The total cost of 20 kilograms of mixed nuts is 20 × $ 5.30 = $ 106 20 \times \$5.30 = \$106 , while the combined cost of the almonds and peanuts is $ 8.50 × x + $ 4.50 × ( 20 − x ) \$8.50 \times x + \$4.50 \times (20-x) . Equating these two equations and solving for x x , we get 106 = 90 + 4 x ⇒ x = 4 106 = 90 + 4 x \Rightarrow x=4 .

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