27 of tents for sale at an outdoors store are green. If this represents 18% of all the tents in the store, how many tents are not green?

A. 150
B. 123
C. 82
D. 73

Respuesta :

Answer:

B. 123

Step-by-step explanation:

Let x be the total number of the tents for sale at the outdoor store.

We are told that 27 of tents for sale at an outdoors store are green. This represents 18% of all the tents in the store.

To find the total number of tents, we need to figure out x such that 18% of x equals 27.

[tex]18\% \text{ of } x=27[/tex]        

[tex]\frac{18}{100}x=27[/tex]

[tex]0.18x=27[/tex]

Upon dividing both sides of equation by 0.18 we will get,

[tex]\frac{0.18x}{0.18}=\frac{27}{0.18}[/tex]

[tex]x=\frac{27}{0.18}[/tex]

[tex]x=150[/tex]

Let us subtract the number of green tents from total number of tents to find the number of tents that are not green.

[tex]\text{The number of tents that are not green}=150-27[/tex]

[tex]\text{The number of tents that are not green}=123[/tex]

Therefore, 123 tents are not green and option B is the correct choice.