SOLUTION: The little train had completed 30 percent of the journey. if 3600 miles still remained what was the total length of the journey?

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Question 506913: The little train had completed 30 percent of the journey. if 3600 miles still remained what was the total length of the journey?
Answer by Maths68(1474) About Me  (Show Source):
You can put this solution on YOUR website!
Let
Total Length of the Journey = x
Completed Journey = 3600
30% of x = x * 30% = x * 30/100 = x * 3/10 = 3x/10
Total Length of the Journey = remaining Journey + Completed Journey (30% of x)
x= 3600 + 3x/10
Multiply by 10 both sides of the above equation
10x=10 * 3x/10 + 10 * 3600
10x=3x + 36000
10x-3x=36000
7x=36000
Divide by 7 both side of the equation
7x/7=36000/7
x= 5142.857
Total Length of the Journey = 5142.857 miles
Check
Train Completed 30% so 70% still remain

Remaining 70% of Total Journey = 70/100 * 5142.857
Remaining 30% of Total Journey = 7/10 * 5142.857
Remaining 30% of Total Journey = 7 * 514.2857
Remaining 30% of Total Journey =3599.9999 miles (Round it off)--> 3600.00 miles