Answer:
[tex]\boxed {\boxed {\sf 250 \ people}}[/tex]
Step-by-step explanation:
Let's set up a proportion using the following setup.
[tex]\frac {buses}{people}=\frac {buses}{people}[/tex]
We know 30 buses can carry 1,500 people.
[tex]\frac {30 \ buses}{1500 \ people}=\frac {buses}{people}[/tex]
We don't know how many people 5 buses can carry, so we say 5 buses carry x people.
[tex]\frac {30 \ buses}{1500 \ people}=\frac {5 \ buses}{x \ people}[/tex]
[tex]\frac {30 }{1500 }=\frac {5 }{x }[/tex]
Cross multiply. Multiply the numerator of the first fraction by the second fraction's denominator. Then, multiply the first denominator by the second numerator.
[tex]30*x=1500*5\\30x=7500[/tex]
Solve for x. It is being multiplied by 30. The inverse of multiplication is division. Divide both sides by 30.
[tex]30x/30=7500\\x=250[/tex]
5 buses can carry 250 people.
