Ni Hua is an adventurous traveler. He skydives twice in every island he visits and skydives thrice in every peninsula he visits.
In the last decade, Ni Hua went skydiving a total of 45 times in the 19 islands and peninsulas that he visited. How many islands and peninsulas did Ni Hua visit?
Let the number of islands visited be x and that peninsulas be y thus, x+y=19 ⇒y=19-x.........i if he skydives twice in islands and thrice in peninsulas, then the total number of skydives will be: 2x+3y=45.....ii
substituting i in ii we get: 2x+3(19-x)=45 2x+57-3x=45 putting like terms together we get: 2x-3x=45-57 -x=-12 therefore x=12 and y=19-x=19-12=7 hence the number of islands visited was 12 and that of peninsulas was 7
