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How many trains?

9/2/2021

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A monorail ride at Six Flags has 5 cars in each train, and each car can hold 4 passengers. In one hour, 1000 people can ride the monorail.

a. Write a verbal model describing how to determine how many trains run in one hour.
b. Use the model to find the number that run in one hour.
c. Check your answer.

let x = the number of trains that run in one hour

There are 5 cars in each train, and each car holds 4 passengers.
Then, 5(4)(x) would be the number of people going in one hour, which you are told is 1000.

a.)  5(4)(x) = 1000 is the verbal model  {5 cars per train, 4 passengers per car equals total people in 1 hour}

b.)  20x = 1000 {multiplied 5 by 4}
x = 50 trains run in one hour  {divided each side by 20}

c.)  Substitute 50 back in for x, and it should make a true statement.
5(4)(50) = 1000  {substituted 50 in for x}
1000 = 1000 {answer checks}

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