Respuesta :
well, if they both increase by 200 each, that means his take-home pay is 3200 and his rent is 950
ok... if we take 3200 as the 100%, what is 950 in percentage of it?
[tex]\bf \begin{array}{ccllll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 3200&100\\ 950&x \end{array}\implies \cfrac{3200}{950}=\cfrac{100}{x}[/tex]
solve for "x".
ok... if we take 3200 as the 100%, what is 950 in percentage of it?
[tex]\bf \begin{array}{ccllll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 3200&100\\ 950&x \end{array}\implies \cfrac{3200}{950}=\cfrac{100}{x}[/tex]
solve for "x".
Answer:
29.68%
Step-by-step explanation:
Allen's monthly take-home pay is $3000
His monthly rent is $750
Now both his monthly take-home pay and his rent increase by $200
So, After increase Allen's monthly take-home pay =$3000+$200= $3200
After increase His monthly rent = $750+200=$950
Now we are supposed to find what percentage of Allen's take-home pay will be used to pay rent
So, percentage = [tex]\frac{\text{Rent after increase}}{\text {Take- home pay after increase}} \times 100[/tex]
= [tex]\frac{950}{3200}\times 100[/tex]
= [tex]\frac{950}{32}[/tex]
= [tex]29.68\%[/tex]
Hence 29.68% of Allen's take-home pay will be used to pay rent.
