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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.

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What is the question?
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Solution:

Let Ni Hua visited x  island and y peninsulas.

we are given that

Ni Hua went skydiving a total of 45 times in the 19 islands and peninsulas that he visited.

So we can write

[tex]x+y=19......(i) [/tex]

[tex]2x+3y=45....(ii)[/tex]

Now solve these two equations togethere using substitution  as below:

[tex]2(19-y)+3y=45\\ \\ 38-2y+3y=45\\ \\ y=45-38\\ \\ y=7[/tex]

So we can write [tex]x=19-7=12[/tex]

Hence Let Ni Hua visited 7  island and 12 peninsulas.


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