Maths Question - Ratio!?

Here's the question:





The farmer's slurry tank is 50 metres from a stream. The farmer draws the tank on a map to show this distance. The scale of the map is 1:1250.





What is the distance between the tank and the stream on the map?





a) 2.5cm


b) 4cm


c) 25cm


d) 40cm





I need to know how you worked it out. This is the most important bit. Please don't just give me the answer!!!





Thanks alot

Maths Question - Ratio!?
In real life, it's 50 meters.





The scale of the map is 1:1250





That means 1 meter on the map is 1250 meters in real life.





So...


(map distance)/(real life) = (map distance)/(real life)





1 / 1250 = x / 50


multiply both sides by 50...


0.04 meters = x





you need to change that to something more reasonable, like centimeters...





1 meter = 100 centimeters





So


(0.04 meters) = 100(0.04) centimeters = 4 cm
Reply:Actual distance = 50 m = 5000 cm


map distance = (1 / 1250) x 5000 cm


map distance = 500 / 125 cm


map distance = 4 cm


Option b)
Reply:RATIO - 1:1250 = 1/1250





therefore


50m * 1/1250m = 0.40m = 40cm





d) 40cm
Reply:d = 50/1250 = 0.04m = 4cm
Reply:Part of me really hates doing your homework for you. How're you ever going to learn if we give you the answers?





Take 50 meters and divide by the scale, 1,250, to yield 0.04 meters, or 4 centimeters.
Reply:4 cm





50/1250=0.04
Reply:If the distance was 1250 m the distance between the tank and the stream will be 1m. Now express the 50m as a fraction of 1250 and that is 50/1250 = 1/25 m Multiply by 100 to change it into cm we have 100/25 = 4 cm. The answer is b.
Reply:1 meter = 100 cm





translation tip:


1:1250 = 1/1250


"the scale is 1:1250" means


= "the scale is 1/1250"


or map distance/ real distance = 1/1250





so map distance = (real distance)/ 1250


= 50 /1250 = .04 meter


= .04 * (1 meter)


= .04 * (100 cm)


= 4 cm
Reply:The scale of the map is 1:1250





let x = real life map


1 / 1250 = x / 50


1250 x = 50


x = 4/100


:%26gt; x = 0.04 m








1 meter = 100 centimeters





So


0.04 m = 100(0.04) cms


= 4 cm








Ans B
Reply:In this situation...





1 metre in real life is equal to 1 / 1250m on the map......





So....


50 metres in real life equates to 50 / 1250m on the map.





50 / 1250 = 0.04m which is equal to 4cm


So answer is C.