Answer:
They traveled 800 km by train.
Step-by-step explanation:
We assign variables and write two equations. Then we solve the system of 2 equations in 2 unknowns.
Assign variables:
let x = kilometers traveled by bus
let y = kilometers traveled by train
Write first equation:
"they traveled a total of 1450 km"
x + y = 1450
Write second equation:
"riding on the train 150 more kilometers than on the bus"
The distance on the train, y, is 150 km greater than the distance on the bus, x.
y = x + 150
We have a system of 2 equations:
x + y = 1450
y = x + 150
Since the second equation is already solved for y, we can use the substitution method. Substitute y of the first equation with x + 150.
x + y = 1450
x + x + 150 = 1450
2x + 150 = 1450
2x = 1300
x = 650
y = x + 150
y = 650 + 150
y = 800
They traveled 800 km by train.
