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In 18 hours, 42 trains pass near Emma’s house. How many trains pass near her house in 12 hours?

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Question:

A
28 trains.

explanation

This is a proportion problem and the given information allows us to formulate the equation below:

42 trains/18 hours = x/12 hours

where x is the number of trains that pass near Emma’s house in 12 hours. We can solve this equation by first cross-multiplying.

18 hours × x = 42 trains × 12 hours

Carrying out the product on the right-hand side, we get:

18 hours × x = 504 trains·hours

We can solve for x by dividing both sides of the equation by 18 hours.

(18 hours × x)/18 hours = 504 trains·hours/18 hours

Carrying out the division, we get a 1 on the left-hand side and a 28 on the right-hand side.

1x= 28 trains

We can drop the 1 next to x, to get x= 28 trains. In 12 hours, 28 trains pass near Emma’s house.

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