Complete each blank to find a expression that is equal to 16%
A. ____16 for every 100
B. ____for every 50
C. 1 for every____
D. 0.5 for every ____
Please help

Respuesta :

A. 16 for every 100
 B.  8 for every 50
 C. 1 for every 6.25
 D. 0.5 for every 3.125

We will complete the given blanks in the given expressions that is equal to 16%.

A. ____ for every 100 = 16%

Let the unknown value be 'x'

x for every 100 = 16%

[tex] \frac{x}{100}=\frac{16}{100} [/tex]

x = 16

Therefore, 16 for every 100 is 16% that is 0.16

B. ___ for every 50 = 16%

Let the unknown value be 'y'

y for every 50 = 16%

[tex] \frac{y}{50}=\frac{16}{100} [/tex]

[tex] \frac{y}{50}=0.16 [/tex]

y = 8

Therefore, 8 for every 50 is 16%.

C. 1 for every ___ is 16%

Let the unknown value be 'z'

1 for every z is 16%

[tex] \frac{1}{z}=\frac{16}{100} [/tex]

[tex] 100=16z [/tex]

[tex] z=\frac{100}{16} [/tex]

z=6.25

1 for every 6.25 is 16%.

D. 0.5 for every ___ is 16%

Let the unknown value be 'w'

0.5 for every w is 16%

[tex] \frac{0.5}{w}=\frac{16}{100} [/tex]

[tex] 50=16w [/tex]

[tex] w=\frac{50}{16} [/tex]

w = 3.125

1 for every 3.125 is 16%.