The equation that represents this word problem is 3x = 600 and 30% of 200 is equal to 60.
This is a mathematical statement used to represent word problems.
Given that 30% of x = 60.
a)
Let write and equation to solve for x
[tex]\frac{30}{100}=\frac{60}{x}\\ 30x=100*60\\ 30x=6000\\3x=600[/tex]
The equation representing x, 30% and 60 can either be written as
[tex]0.3x=60[/tex] or [tex]3x=600[/tex]
b)
To solve for x, let's divide both sides by the coefficient of x.
[tex]3x=600\\\frac{3x}{3}=\frac{600}{3}\\ x=200[/tex]
From the calculations above, 30% of 200 is 60.
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