A bowl of nuts is prepared for a party.

General Calculator / Auto Solver

A bowl of nuts is prepared for a party. Brand p mixed nuts are % almonds and brand q's deluxe nuts are % almonds. If a bowl contains a total of ounces of nuts, representing a mixture of both brands, and ounces of the mixture are almonds, how many ounces of brand q's deluxe mixed nuts are used?

Solve

Calculated Answer

28

Step by Step Solution

In order to solve problem, you must evaluate (n₃ - n₂ * n₀ / 100) / (n₁ / 100 - n₀ / 100).

• (n₃ - n₂ * n₀ / 100) / (n₁ / 100 - n₀ / 100)

• Evaluate n₀ / 100 = 0.2

  (n₃ - n₂ * 0.2) / (n₁ / 100 - n₀ / 100)

• Evaluate n₂ * 0.2 = 13.6

  (n₃ - 13.6) / (n₁ / 100 - n₀ / 100)

• Evaluate n₃ - 13.6 = 1.4

  1.4 / (n₁ / 100 - n₀ / 100)

• Evaluate n₁ / 100 = 0.25

  1.4 / (0.25 - n₀ / 100)

• Evaluate n₀ / 100 = 0.2

  1.4 / (0.25 - 0.2)

• Evaluate 0.25 - 0.2 = 0.05

  1.4 / 0.05

• Evaluate 1.4 / 0.05 = 28

  28
• The answer to the problem and the result of (n₃ - n₂ * n₀ / 100) / (n₁ / 100 - n₀ / 100) is 28