in a ceremony out of 800 participants 620 drink milk 350 drank tea and 50 did not drink both. find out how many people drank the both drink using a Venn diagram

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Explanation: Let M represent the amount of people that drank milk, let T represent the people that drank tea.

Let x represent the people that drank both milk and tea.

Therefore. the amount of people that drank only milk = n(M ∩ T') = 620 - x

the amount of people that drank only milk = n(M' ∩ T) = 350 - x

The amount of people that did not drink any of them = n(M ∪ T)'

Since 800 people participated, Hence:

620 - x + (350 - x) + x + 50 = 800

620 + 350 + 50 - x - x + x = 800

1020 - x = 800

x = 1020 - 800

x = 220

Therefore 220 people drank both drinks.

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