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 454545 times in the 191919 islands and peninsulas that he visited. How many islands and peninsulas did Ni Hua visit?

Question

Mathematics

Priscilla Roman

27 February, 05:34

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 454545 times in the 191919 islands and peninsulas that he visited. How many islands and peninsulas did Ni Hua visit?

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Answers (1)

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Stephanie Goodwin · Answer 1

Let x and y be islands and peninsulas respectively

x+y=191919

2x+3y=454545

y = 191919 - x

2x + 3 (191919 - x) = 454545

2x + 575757 - 3x = 454545

2x-3x = 454545 - 575757

-x = - 121212

x = 121212

121212 + y = 191919

y = 191919 - 121212

y = 70707

Ni Hua visited 121212 islands and 70707 peninsulas