The answer is: " 300 " .
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→ " 300 % " of 45 is " 135 " .
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Explanation:
To solve:
[tex] \frac{x}{100} [/tex] * [tex] \frac{45}{1} [/tex] = 135 .
→ The "100" cancels out to a "20" ; and the "45" cancels out to a "9" ;
→ {since: "100 ÷ 5 = 20" ; and since: "45 ÷ 5 = 9" } ;
→ So; we rewrite as:
[tex] \frac{x}{20} [/tex] * [tex] \frac{9}{1} [/tex] = 135 ;
→ Note: "[tex] \frac{9}{1} [/tex] " = 90 ;
→ So; we rewrite as:
[tex] \frac{x}{20} [/tex] * 9 = 135 ;
→ Now. divide each side of the equation by "9" ; to further simplify the problem; as follows:
{ ( [tex] \frac{x}{20} [/tex] * 9 ) / 9 ) } = {135 / 9 } ;
to get:
[tex] \frac{x}{20} [/tex] = 15 ;
Now, multiply EACH SIDE of the equation by "20" ;
→ to isolate "x" on one side of the equation; & to solve for "x" ;
→ 20 * {[tex] \frac{x}{20} [/tex]} = 15 * 20 ;
to get:
→ x = 300 .
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The answer is: " 300 " .
_____________________
→ " 300 % " of 45 is " 135 " .
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