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