Question

If point P is 3/7 the distance from A to B, then it is ____ the distance from B to A.

Answer 1

Answer:

$\frac{4}{7}$

Step-by-step explanation:

It is given that P is $\frac{3}{7}$ the distance from A to B. So, we can write the given situation as,

$AP=\frac{3}{7} AB$

$\implies \frac{AP}{AB}=\frac{3}{7}$

$\implies \frac{AB-BP}{AB}=\frac{7-4}{7}$

$\implies \frac{AB}{AB}-\frac{BP}{AB}=\frac{7}{7}-\frac{4}{7}$

$\implies 1-\frac{BP}{AB}=1-\frac{4}{7}$

$\implies \frac{BP}{AB}=\frac{4}{7}$

$\implies BP=\frac{4}{7} AB$

Hence, if a point P is $\frac{3}{7}$ the distance from A to B, then it is $\frac{4}{7}$ the distance from B to A.

Answer 2

The answer is 4/7, because if A to P is 3/7 of the way, going to B would be to the end. So, you have to go 4/7 of the way to get to the end.