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At Colin and Rosa's Smoothie Extravaganza, they create their most famous smoothie called Passionana.In
der to create this smoothie, they mix two ingredients: Passion fruit which costs $3.75 per pound and
1anas which costs 54.50 per pound. Each mixture weighs twenty pounds and is worth $4.20 per pound
/ much of each ingredient must be in each batch of Passionana? Make a system of inequalities and solve.

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Each batch of Passionana should have 0.18 pounds of bananas and 99.82 pounds of passion fruit.

Since at Colin and Rosa's Smoothie Extravaganza, they create their most famous smoothie called Passionana, and in order to create this smoothie, they mix two ingredients: Passion fruit which costs $ 3.75 per pound and bananas which costs $ 54.50 per pound, and each mixture weighs twenty pounds and is worth $ 4.20 per pound, to determine how much of each ingredient must be in each batch of Passionana the following calculation must be performed:

  • 54.5 x 0.05 + 3.75 x 0.95 = 6.28
  • 54.5 x 0.01 + 3.75 x 0.99 = 4.25
  • 54.5 x 0.0075 + 3.75 x 0.9925 = 4.13
  • 54.5 x 0.009 + 3.75 x 0.991 = 4.20
  • 20 x 0.009 = 0.18
  • 20 - 0.18 = 19.82

Therefore, each batch of Passionana should have 0.18 pounds of bananas and 99.82 pounds of passion fruit.

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