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6 votes
6 votes
maths j2 a road is 300km long is drawn to a scale of 1cm represents 50km . what is it's length on drawing?​

User Larissa Savchekoo
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1 Answer

9 votes
9 votes

Answer: 6cm.

Explanation:

Strategy 1 (in-head thinking)

300 divided by 50 would be 6, multiply 6 by 1 and get 6cm.

Strategy 2 (proportions)

First, set up a proportion.

We know that 1cm = 50km, so we put them on a fraction (whichever is denominator/numerator doesn’t affect the process)

However, we don’t know how much cm equals 300km, so we turn that into a variable, in this case x.

1cm x cm

——— ———

50km 300km

To solve a proportion, go diagonal to where the variables have already been filled in. You can’t so 50km and x cm, as you don’t know x. You can do 300km however. To start, multiply 1 and 300, to which you get 300. Then, multiply 300 by the 50km and you’ll get x. That’ll equal to 6.

So in conclusion, your answer is 6.

User Mr Shark
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