In a group of 150 people, 90 like tea, 60 like coffee, and 30 like both. How man

Practice Questions

Q1
In a group of 150 people, 90 like tea, 60 like coffee, and 30 like both. How many people like neither tea nor coffee?
  1. 30
  2. 60
  3. 90
  4. 120

Questions & Step-by-Step Solutions

In a group of 150 people, 90 like tea, 60 like coffee, and 30 like both. How many people like neither tea nor coffee?
  • Step 1: Identify the total number of people in the group, which is 150.
  • Step 2: Identify how many people like tea, which is 90.
  • Step 3: Identify how many people like coffee, which is 60.
  • Step 4: Identify how many people like both tea and coffee, which is 30.
  • Step 5: Calculate the number of people who like either tea or coffee using the formula: (people who like tea) + (people who like coffee) - (people who like both). This gives us: 90 + 60 - 30 = 120.
  • Step 6: To find out how many people like neither tea nor coffee, subtract the number of people who like either from the total number of people: 150 - 120 = 30.
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