Krishna wants to make trail mix made up of almonds, chocolate covered coffee beans, and peanuts. He wants to mix one part almonds, two parts coffee beans, and three parts of peanuts. Almonds cost $12 per pound, coffee beans cost $9 per pound, and peanuts cost $5 per pound. Carlos has $30 to spend on the trail mix. How many pounds of trail mix he can make?

Question

Sonny Bates

Mathematics

18 May, 18:39

Krishna wants to make trail mix made up of almonds, chocolate covered coffee beans, and peanuts. He wants to mix one part almonds, two parts coffee beans, and three parts of peanuts. Almonds cost $12 per pound, coffee beans cost $9 per pound, and peanuts cost $5 per pound. Carlos has $30 to spend on the trail mix. How many pounds of trail mix he can make?

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Cason · Answer 1

Answer: 4.02 pounds

Given: Krishna wants to make trail using the following ingredients:

one part almonds at $12/lb

two parts coffee beans at $9/lb

three parts of peanuts. at $5/lb

If Carlos has $30 to spend on the trail mix, the weight of the mixture is calculated below:

Let X=almonds in pounds

2X=coffee beans in pounds

3X=peanuts in pounds

X ($12) + 2x ($9) + 3X ($5) = $30

12X+18x+15X=30

45X=30

X=30/45

X=.67 lbs

2X=1.34 lbs

3X=2.01 lbs

X+2X+3X=.67+1.34+2.01

Total weight of trail mix=4.02 pounds