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In a mixture of two types of nuts, the ratio of almonds to cashews is 2:3. If th

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Question: In a mixture of two types of nuts, the ratio of almonds to cashews is 2:3. If there are 100 grams of almonds, how many grams of cashews are there?

Options:

  1. 150 grams
  2. 200 grams
  3. 250 grams
  4. 300 grams

Correct Answer: 150 grams

Solution: 

If almonds = 2 parts, then cashews = (3/2) * 100 = 150 grams.

In a mixture of two types of nuts, the ratio of almonds to cashews is 2:3. If th

Practice Questions

Q1
In a mixture of two types of nuts, the ratio of almonds to cashews is 2:3. If there are 100 grams of almonds, how many grams of cashews are there?
  1. 150 grams
  2. 200 grams
  3. 250 grams
  4. 300 grams

Questions & Step-by-Step Solutions

In a mixture of two types of nuts, the ratio of almonds to cashews is 2:3. If there are 100 grams of almonds, how many grams of cashews are there?
  • Step 1: Understand the ratio of almonds to cashews, which is 2:3.
  • Step 2: This means for every 2 parts of almonds, there are 3 parts of cashews.
  • Step 3: If we have 100 grams of almonds, we can find out how many grams of cashews correspond to that amount.
  • Step 4: First, find out how many grams one part represents. Since almonds are 2 parts, we divide the total grams of almonds by 2: 100 grams / 2 parts = 50 grams per part.
  • Step 5: Now, calculate the grams of cashews. Since cashews are 3 parts, we multiply the grams per part by 3: 50 grams/part * 3 parts = 150 grams.
  • Step 6: Therefore, there are 150 grams of cashews in the mixture.
  • Ratios – Understanding and applying the concept of ratios to determine quantities in a mixture.
  • Proportions – Using proportions to find the unknown quantity based on a known quantity and a given ratio.
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