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Scale: 1 box = 5 meters Reproduce the scale drawing of a playground so that it has a scale of 1 box = 20 meters. Which drawing shows the new scale?

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The final answer is x = 80/3. This means that the new scale drawing should have 1 box representing 20 meters.

Let's reproduce the scale drawing of a playground so that it has a scale of 1 box = 20 meters.

Simplify the fraction:

6 / 20 = 8 / x

Eliminate fraction denominators:

10x⋅ 3/ 10 = 10x⋅ 8 / x

Cancel multiplied terms that are in the denominator:

x⋅3 = 10⋅8

Re-order terms so constants are on the left:

3x = 10⋅8

Multiply the numbers:

3x=80

Divide both sides of the equation by the same factor:

3x / 3 = 80 / 3

​Simplify:

x = 80 / 3

The new scale drawing is the one that shows the playground with a scale of 1 box = 20 meters.

Scale: 1 box = 5 meters Reproduce the scale drawing of a playground so that it has-example-1
User Philngo
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