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12 is 90% of what number ?

Sagot :

The best thing to do is to find 10%.
You can do this by dividing 12 by 9.
12/9= 1.333
Therefore, 10% is equal to 1.333
1.333*10= 13.33
Therefore, 12 is 90% of 13.33

Hope this helps :) 

Answer:

Let the number be x.

Then, the statement become; "90% of x is 12".

90% of x is written as  [tex]\frac{90}{100} \times x[/tex]

then;

[tex]\frac{90}{100}x =12[/tex]

or

[tex]\frac{9}{10}x=12[/tex]

Multiply both sides by [tex]\frac{10}{9}[/tex] ,

[tex]\frac{9}{10}x \times \frac{10}{9} =12 \times \frac{10}{9}[/tex]

Simplify:

[tex]x =\frac{120}{9} = \frac{40}{3} = 13.33333...[/tex]

then the value of number x is 13.34 (nearest hundredths).

Therefore, 12 is 90% of 13.34.

Check:

12 = 90% of 13.34

12 = [tex]\frac{90}{100}\times 13.34[/tex]

12 = [tex]0.9 \times 13.34[/tex]

12=12.00                              [true]