On her way to her grandmothers house, Jackie traveled three times as many miles by train as by bus. She traveled four times as many miles by bus as by foot. If Jackie traveled 34 miles in all, how many miles did she travel by train.

She traveled 24 miles by train.

Step-by-step explanation:

34=total miles

x=miles by bus -

4x

y=miles by train -

3x × 4x = 12x

z=miles by foot -

1x

12x + 4x + x = 34

17x=34

17x/17=34/17

x=2

y=12(2)

y=24

Explanation:

Jackie traveled 4 times as many miles by bus than by foot, and 3 times as many miles by train than by bus. In the situation given x miles were traveled by foot, 4x miles were traveled by bus, and 4x × 3x  or 12x miles were traveled by train. The values for the miles traveled by foot, bus, and train are equal to the total miles traveled. After setting up the equation 12x + 4x + x = 34 the x values need to be added: The equation 17x=34 sets the total miles traveled by train, bus, and foot, represented by 17x, equal to the total 34 miles traveled. Through dividing you gain the value of x. Then using the value for x you can calculate the miles traveled by train. The value for miles traveled by train is y=12(2) or y=24. Therefore, she traveled 24 miles by train.

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