Manny and Emma are both competing in a long jump competition at their school. Manny can jump four fifths of the distance that Emma can jump. Manny can jump 28 inches. How far can Emma jump?

Question

anonymous · Answer

$$28=\frac{ 4 }{ 5 }x$$ Emma is x. Solve

anonymous · Answer

m = manny jumping 
e = emma jumping
then
m = (4/5) * e
m = 28
then
28 = (4/5) * e
solve for emma, so divide both sides by (4/5)
28/(4/5) = e 
using fractions in division is like this:
(28/1) / (4/5)   is the same as (28/1) * (5/4)  =  (28*5)/4
so 
e =  (28*5)/4