A mixture of two types of nuts contains 70% cashews and 30% almonds. If 5 kg of almonds are added, what is the new percentage of cashews if the total weight of the mixture becomes 25 kg?
Practice Questions
1 question
Q1
A mixture of two types of nuts contains 70% cashews and 30% almonds. If 5 kg of almonds are added, what is the new percentage of cashews if the total weight of the mixture becomes 25 kg?
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70%
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Initial weight of cashews = 70% of 20 kg = 14 kg. New total = 25 kg, new percentage of cashews = (14/25) * 100 = 56%.
Questions & Step-by-step Solutions
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Q
Q: A mixture of two types of nuts contains 70% cashews and 30% almonds. If 5 kg of almonds are added, what is the new percentage of cashews if the total weight of the mixture becomes 25 kg?
Solution: Initial weight of cashews = 70% of 20 kg = 14 kg. New total = 25 kg, new percentage of cashews = (14/25) * 100 = 56%.
Steps: 8
Step 1: Understand that the mixture has 70% cashews and 30% almonds.
Step 2: Let the initial total weight of the mixture be 20 kg (since 5 kg of almonds are added to make it 25 kg).
Step 3: Calculate the initial weight of cashews: 70% of 20 kg = 0.70 * 20 = 14 kg.
Step 4: Calculate the initial weight of almonds: 30% of 20 kg = 0.30 * 20 = 6 kg.
Step 5: Add 5 kg of almonds to the initial weight of almonds: 6 kg + 5 kg = 11 kg of almonds now.
Step 6: The new total weight of the mixture is 25 kg (20 kg + 5 kg).
Step 7: The weight of cashews remains the same at 14 kg.
Step 8: Calculate the new percentage of cashews: (14 kg of cashews / 25 kg total) * 100 = 56%.
