Problem:
Suppose hops, skips and jumps are specific units of length. If b hops equals c skips, d jumps equals e hops, and f jumps equals g meters, then one meter equals how many skips?
Answer Choices:
A. cefbdg​
B. begcdf​
C. befcdg​
D. bdgcef​
E. bdfceg​
Solution:
We are given
​b hops =c skips, or 1 hop =bc​ skips; d jumps =e hops, or 1 jump =de​ hops; f jumps =g meters, or 1 meter =gf​ jumps. ​
Substituting repeatedly gives
1 meter =gf​ jumps =gf​(de​ hops )=gf​(de​(bc​ skips ))=bdgcef​ skips.