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The Venn diagram shows the number of people who bought ice-cream and drinks in a theatre. Ice-cream is sold for INR 3 and drinks are sold for INR 2. A total of INR 262 is spent. How many people bought both a drink and an ice-cream?
image

  1. A
    28
  2. B
    30
  3. C
    40
  4. D
    44

Solution & Step-by-step Explanation

Let be the number of people who bought both a drink and an ice-cream (represented by the overlapping intersection of the Venn diagram).
From the diagram:

* Number of people who bought only drinks
* Total people who bought drinks
* Number of people who bought only ice-creams
* Total people who bought ice-creams

Given that the price of a drink is INR 2 and an ice-cream is INR 3, we set up the total expenditure equation:











Therefore, 30 people bought both items.

Practice this question

Try it yourself before checking the explanation above.

The Venn diagram shows the number of people who bought ice-cream and drinks in a theatre. Ice-cream is sold for INR 3 and drinks are sold for INR 2. A total of INR 262 is spent. How many people bought both a drink and an ice-cream?
image
A
28
B
30
C
40
D
44

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