Difference between revisions of "2000 PMWC Problems/Problem I5"
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==Solution== | ==Solution== | ||
| − | Since 10% of the students speak neither language, 90% must speak at least one language. Since 72% speak Chinese and 65% can speak English, we know, by [[Principle of Inclusion-Exclusion]], that 72+65-90=47 of the students speak both languages. | + | Since 10% of the students speak neither language, 90% must speak at least one language. Since 72% speak Chinese and 65% can speak English, we know, by [[Principle of Inclusion-Exclusion]], that 72+65-90=47% of the students speak both languages. |
-Potato2017 | -Potato2017 | ||
==See Also== | ==See Also== | ||
Latest revision as of 13:52, 24 June 2020
Problem
In a language college, 
students can speak Chinese, 
students can speak English, and 
students can speak neither Chinese nor English. Find the percentage of students who can speak both Chinese and English.
Solution
Since 10% of the students speak neither language, 90% must speak at least one language. Since 72% speak Chinese and 65% can speak English, we know, by Principle of Inclusion-Exclusion, that 72+65-90=47% of the students speak both languages.
-Potato2017
