astr0nar
Answered

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If 30 buses can carry 1,500 people, how many people can 5 buses carry? A 200 © 500 B 250 D 750​

Sagot :

Sarah06109

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.

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