Respuesta :

Answer:

140

Step-by-step explanation:

Given:

In the Stone Ridge apartment complex 35% of the apartments have one bedroom.

If there are 49 one bedroom apartments.

Question asked:

What is the total number of apartments at Stone ridge ?

Solution:

Let total number of apartments at Stone ridge = [tex]x[/tex]

Now according to question:

35% of the total apartments having one bedroom = 49

[tex]35\%\ of x = 49[/tex]

[tex]\frac{35}{100}\times x = 49[/tex]

[tex]\frac{35x}{100} = 49[/tex]

By cross multiplication:

[tex]35x = 49\times100\\35x= 4900\\[/tex]

By dividing both sides by 35

[tex]\frac{35x}{35} = \frac{4900}{35} \\x = 140[/tex]

Therefore, total number of apartments at Stone ridge is 140