Respuesta :
Answer: " 400 ."
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→ " 96 " is 24% of: "400 ."
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Step-by-step explanation:
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Note that: " 24% " = " 24 / 100 " = " (24 ÷ 100)" = 0.24 .
Note: when "dividing" a number by "100" ; one moves the decimal space back "2 (two) spaces."
→ "Dividing" by "100 " :
when doing so; "dividing" means moving the decimal space "backward" ;
Thus, take the number; "24" ; which is: " 24. " ; and move it back
"2 (two) spaces" ; since there are "2 (two) zeros" in "100";
→ So; "24." divided by "100" = .24 ; write as: 0.24 ;
→ Or; use a calculator: "(24÷100) = 0.24 " .
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Back to the question:
"96 is 24% of what number? " ;
→ 96 = (0.24) * n ;
in which: "n" is the "number" for which we want to solve.
→ Divide each side of the equation by: "(0.24)" ;
to isolate: "n" on one side of the equation; & to solve for "n" ;
→ 96 = (0.24) n ;
↔ (0.24) n = 96 ;
Divide Each Side of the equation by: "(0.24)" ; as follows:
→ (0.24) n / (0.24) = 96 / (0.24) ;
→ n = 96 / (0.24) ;
→ n = 400 .
The answer is: " 400 " .
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Other method:
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Note: 24% = 24/100 = (24÷4) / (100÷4) = 6/ 25 ;
→ Question: "96 is 24% of what number?" ;
Rewrite as: "96 is "6/25" of what number?" ;
→ "96 = (6/25) n " ; Solve for "n" ; the number we wish to obtain;
↔ (6/25)n = 96 ;
↔ (6n/25) = 96 ;
→ 6n = 96 * 25 ;
→ 6n = 2400;
Divide each side of the equation by "6" ;
to isolate "n" on one side of the equation; and to solve for "n" :
→ 6n/ 6 = 2400/6 ;
to get:
→ n = 400 .
The answer is: "400" .
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Variant:
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When we have:
→ 6n = 96 * 25 ; ← {as aforementioned} ;
We can divide each side of the equation by "6" ;
to isolate "n" on one side of the equation;
→ since "96" on the "right-hand side" divided by "6" into a whole number integer; that is: "(96 ÷ 6 = 16) . " '
→ 6n / 6 = [96 * 25] / 6 ;
to get:
→ n = 16 * 25 ;
Now, multiply to solve for "n" ;
→ n = 400 .
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The answer is: " 400 . "
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Hope this is helpful to you!
Best wishes in your academic pursuits
— and within the "Brainly" community!
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