Respuesta :
Answer:
6 miles.
Step-by-step explanation:
Let x be the total distance hoped by Kangaroo to the lake.
We have been given that a kangaroo hopped 1/3 of the distance to the lake with her baby in her pouch.
She hopped the remaining 7040 yards without her baby in her pouch. This means that 2/3 of total distance (x) is 7040. We can represent this information in an equation as:
[tex]\frac{2}{3}*x=7040[/tex]
Let us solve for x by multiplying both sides of our equation by 3/2.
[tex]\frac{3}{2}*\frac{2}{3}*x=\frac{3}{2}*7040[/tex]
[tex]x=3*3520[/tex]
[tex]x=10560[/tex]
Therefore, the total distance hoped by the kangaroo is 10560 yards.
1 mile = 1760 yards
Let us convert this distance in miles by dividing 10560 yards by 1760.
[tex]\text{The kangaroo hoped}=\frac{10560\text{ yards}}{\frac{1760\text{ yards}}{\text{Mile}}}[/tex]
[tex]\text{The kangaroo hoped}=\frac{10560\text{ yards}}{1760}\times \frac{\text{ Mile}}{\text{ yards}}[/tex]
[tex]\text{The kangaroo hoped}=\frac{10560}{1760}\times\text{ Mile}[/tex]
[tex]\text{The kangaroo hoped}=6\text{ Miles}[/tex]
Therefore, the kangaroo hoped 6 miles to the lake.
