Question

cashews cost $11.25/kg. pecans cost $13.00/kg the number of kilograms of cashews is 3 less than the number if kilograms of pecans. How many kilograms of each should be mixed to make a box that will sell for $136

Answer 1

• 4 kg cashews
• 7 kg pecans

Explanation:

You want the mass of cashews and pecans in a box that sells for $136 if there are 3 fewer kg of cashews at $11.25 per kg than of pecans at $13 per kg.

Setup

Let c represent the mass of cashews in kg. Then (c+3) is the mass of pecans. The total value of the mix is ...

11.25c +13(c +3) = 136

Solution

Simplifying the equation gives ...

24.25c +39 = 136

24.25c = 97

c = 4

The mix should contain 4 kg of cashews and 7 kg of pecans.