The marsh family took a vacation that covered a total distance of 1356 miles. The return trip was 284 miles shorter than the first part of the trip. How long was the return trip?
My answer is
1356-284= 1072
The problem states that the total distance was 1356 miles -- so we assume that was the round trip mileage.
x + x + 284 = 1356
2x = 1072
x = 536
You're welcome.
Total distance= 1356
2 parts of the trip
x= return trip
1356=2x-284
+284 +284
1640=2x
2 2
820=x
2+2=536 You are welcome!
Total distance= 1356
2 parts of the trip
x= return trip
1356=2x-284
+284 +284
1640=2x
2 2
820=x
X+X-284 = 1356
2x-284+284(cancel out). 1356-284
2x÷2(cancel out) 1640÷2 = 820
Check
820+820-284 = 1356
Thanks Ms.Sue
To find the length of the return trip, we can subtract the difference in distance from the total distance of the vacation.
The total distance of the vacation is given as 1356 miles. Let's call the length of the first part of the trip x miles.
According to the problem, the return trip was 284 miles shorter than the first part of the trip. So, the length of the return trip would be x - 284 miles.
To find x, we can set up an equation. Since the total distance of the vacation is the sum of the first part of the trip and the return trip, we can write:
x + (x - 284) = 1356
Simplifying the equation:
2x - 284 = 1356
Add 284 to both sides:
2x = 1640
Divide both sides by 2:
x = 820
Therefore, the length of the first part of the trip is 820 miles.
To find the length of the return trip, we substitute the value of x into the equation:
Length of return trip = x - 284
Length of return trip = 820 - 284
Length of return trip = 536
So, the return trip was 536 miles long.