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Answer:
Let the number be x.
Then, the statement become :450 is 75% of x
to solve for x;
75% of x can be written as [tex]\frac{75}{100} \times x[/tex]
Then,
from the given condition we have;
[tex]\frac{75}{100} \times x =450[/tex]
or
[tex]\frac{3}{4}x =450[/tex]
Multiply both sides by [tex]\frac{4}{3}[/tex] in above equation;
[tex]\frac{3}{4}x \times \frac{4}{3} =450 \times \frac{4}{3}[/tex]
or
[tex]x= \frac{450 \times 4}{3}= 150 \times 4[/tex] = 600
Then, the number x is 600
Therefore, 450 is 75% of 600.
Check:
450 = [tex]\frac{75}{100} \times 600[/tex]
450 = [tex]75 \times 6[/tex]
450=450 [True]