SOLUTION: In a party 70% of the guest drink coffee, 65% of the guest drink Tea, 27% of guest didnt drink anything and 248 guests drink both tea and coffee. How much guests came for the party

Question 975322: In a party 70% of the guest drink coffee, 65% of the guest drink Tea, 27% of guest didnt drink anything and 248 guests drink both tea and coffee. How much guests came for the party?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
I am assuming that coffee and tea were the only beverages being served.
Otherwise, we cannot solve the problem.

If 27% of the guests didn't drink anything, then
100% - 27% = 73% drank either coffee or tea, or both.
Since 70% drank coffee, 73% - 70% = 3% must have drunk only tea.
The other 65% - 3% = 62% of the tea-drinking guests drank both beverages (coffee and tea).
= number of guests that came for the party
of those guests is
--->---> .
So, guests came for the party.

CHECKING:
Of those guests, 27%, or , drank nothing;
70%, or , drank coffee,
and 65%, or , drank tea.
If we add all those numbers up, we get
.
Since there were guests, that means that
guests were counted twice,
and that is because they drank both: tea and coffee.
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