I doubt she hopped any miles on the lake.
However, on the way, the remaining 2/3 of the original distance was 7040 yards.
So, the total distance can be found by solving
2/3 x = 7040
x = 10560 yd * 1mi/1760yd = 6 mi
However, on the way, the remaining 2/3 of the original distance was 7040 yards.
So, the total distance can be found by solving
2/3 x = 7040
x = 10560 yd * 1mi/1760yd = 6 mi
(2/3) x = 7040 yards (1 mile/1760 yards)
x = (3/2)(7040/1760) = 6 miles
Let's start by finding the distance the kangaroo hopped with her baby in her pouch.
If the kangaroo hopped 1/3 of the total distance to the lake with her baby, then the remaining 2/3 of the distance was covered without the baby.
Let's represent the total distance to the lake as "D" yards.
Distance hopped with the baby = (1/3)D yards
Distance hopped without the baby = (2/3)D yards
Given that the distance hopped without the baby is 7040 yards, we can set up the equation:
(2/3)D = 7040
To solve for D, we can multiply both sides of the equation by (3/2):
D = (7040 * 3) / 2
D = 10560 yards
Now, since we know that 1 mile equals 1760 yards, we can convert the total distance to miles:
Total distance = 10560 yards / 1760 yards per mile
Total distance = 6 miles
Therefore, the kangaroo hopped a total of 6 miles to reach the lake.