Math Is Fun Forum

Hannibal lecter

Member

Registered: 2016-02-11

Posts: 392

Ratios

The distance between two towns on a map is 5 cm. If the real distance between the two towns is 25 km, what is the scale of the map?

it's in Question5 of this page :

https://www.mathopolis.com/questions/q.html?id=1710&t=mif&qs=1709_1710_1711_1712_1713_1714_1715_1716_3603_3604&site=1&ref=2f6e756d626572732f726174696f2e68746d6c&title=526174696f73#

on MIF

the question is talking about the distance between two city, the answer is B)

the scale of the map is 5 cm : 2,500,000 cm
Which is 1 : 500,000

is the 1 : 500,000 a scale? or a ratio?

at only this question I confused where is the ratio there

it's a scale as in Horse Example :-  https://www.mathsisfun.com/numbers/ratio.html

this horse in real life is 1500 mm high and 2000 mm long, so the ratio of its height to length is

1500 : 2000

What is that ratio when we draw it at 1/10th normal size?

1500 : 2000         = 1500×1/10 : 2000×1/10
         = 150 : 200

so it's a scale, it's the only question that I confused where is the ratio there is a two city on paper they are far 5 cm in real 25 km
where is the the ration there

Last edited by Hannibal lecter (2023-06-28 06:24:54)

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Wisdom is a tree which grows in the heart and fruits on the tongue

Bob

Administrator

Registered: 2010-06-20

Posts: 10,172

Re: Ratios

is the 1 : 500,000 a scale? or a ratio?

Firstly it's a correct answer.  Scale or ratio. Both!.  Ratio is the word to use for most situations. It's right for the horse example.  When talking about a map most people use scale but it's not wrong to use ratio. Uses of 'scale' is a subset of uses of 'ratio' in the same way that my imaginary pet Fido is a dog but also an animal. The set of dogs is a subset of the set of animals.

Bob

ps. How are you getting on with trigonometry?

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

Hannibal lecter

Member

Registered: 2016-02-11

Posts: 392

Re: Ratios

is the 1 : 500,000 a scale? or a ratio?

Bob

ps. How are you getting on with trigonometry?

I am continuing  then I'll study logarithmic finally

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Wisdom is a tree which grows in the heart and fruits on the tongue