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.