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In a mixture of two types of nuts, the ratio of almonds to cashews is 4:1. If th

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Question: In a mixture of two types of nuts, the ratio of almonds to cashews is 4:1. If there are 40 almonds, how many cashews are there?

Options:

  1. 10
  2. 5
  3. 15
  4. 20

Correct Answer: 10

Solution: 

If the ratio is 4:1, then for every 4 almonds, there is 1 cashew. Therefore, if there are 40 almonds, there are 40/4 = 10 cashews.

In a mixture of two types of nuts, the ratio of almonds to cashews is 4:1. If th

Practice Questions

Q1
In a mixture of two types of nuts, the ratio of almonds to cashews is 4:1. If there are 40 almonds, how many cashews are there?
  1. 10
  2. 5
  3. 15
  4. 20

Questions & Step-by-Step Solutions

In a mixture of two types of nuts, the ratio of almonds to cashews is 4:1. If there are 40 almonds, how many cashews are there?
  • Step 1: Understand the ratio of almonds to cashews, which is 4:1. This means for every 4 almonds, there is 1 cashew.
  • Step 2: Identify how many almonds you have. In this case, there are 40 almonds.
  • Step 3: To find out how many groups of 4 almonds are in 40 almonds, divide 40 by 4. So, 40 ÷ 4 = 10.
  • Step 4: Since each group of 4 almonds corresponds to 1 cashew, the number of cashews is equal to the number of groups of 4 almonds, which is 10.
  • Ratios – Understanding and applying the concept of ratios to determine quantities in a mixture.
  • Proportions – Using proportions to relate the quantities of different items based on their given ratio.
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