Find how many cups of each blend you could drink to meet you minimum daily requirement with a minimum cost.

Question

You are hunting for a special health drink that you read about, but you cannot find one with the recommended amounts of protein and carbohydrates. You find two drinks that have the right ingredients but the wrong proportions. You wonder how much of each to drink and still keep your cost down. Find how many cups of each blend you could drink to meet you minimum daily requirement with a minimum cost.
 

• Recommended Minimum Daily Amount: 3 cups for protein, 5 cups for carbohydrates
• Blend A: 25% protein; 75% carbohydrate; cost is $.25 per cup
• Blend B: 50% protein; 50% carbohydrate; cost is $0.20 per cup

 

 

Answer 1

x   amount of A

y  amount of B

(25x +50y)/(75x +50y)=3/5

125x +250y = 225x +150y

100y =100x

therefore, y=x.

Since total number of cups is 8, one will have to drink 4 cups of each.