# Problem of the Week Problem E Mixture of Three

Kanza is making and selling trail mix. She makes three different blends, each consisting of a mixture of cashews, dark chocolate, and almonds. All of these blends are sold at the same price of $$\18$$ per kg.

If she mixes cashews, dark chocolate, and almonds in the ratio of $$1:1:1$$, by mass, then she makes a profit of $$20\%$$.

If she mixes cashews, dark chocolate, and almonds in the ratio of $$3:2:1$$, by mass, then she makes a profit of $$8\%$$.

If she mixes cashews, dark chocolate, and almonds in the ratio of $$1:4:2$$, by mass, then she makes a profit of $$26\%$$.

1. What price, in dollars per kg, does Kanza pay for each of the cashews, dark chocolate, and almonds?

2. What percentage of a profit would she make if she mixes cashews, dark chocolate, and almonds in the ratio of $$2:3:4$$, by mass?