Math Is Fun Forum

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Hard math problem - ratios.

Greetings, I require assistance in the following problem.
Island X is a small island. In the winter of 1986 the ratio of natives to tourists on the island was 7:1. In the summer of 1987 the ratio of natives to tourists on the island was 155:69. The number of natives on the island decreased by 100 from the winter of 1986 to summer of 1987. The number of tourists on the island decreased by 220 from the winter of 1986 to summer of 1987. 
Find the number of tourists that were there on Island X in the winter of 1986.

thickhead

Member

Registered: 2016-04-16

Posts: 1,086

Re: Hard math problem - ratios.

There is something wrong with  the statement of the problem. Otherwise the problem is simple.

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{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

Nehushtan

Member

Registered: 2013-03-09

Posts: 957

Re: Hard math problem - ratios.

Have you made a typo somewhere?

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thickhead

Member

Registered: 2016-04-16

Posts: 1,086

Re: Hard math problem - ratios.

I opened the pdf of the paper shown elsewhere. the number of tourists increased by 220.
take 7x and x as the numbers of natives &tourists in 1986. Then

Solve it x=125 is the answer.

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{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}