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