Correct Question:
Stan ran
miles, which was
fewer miles than Matt ran. Four students wrote and solved equations to find m, the number of miles that Matt ran. Which student wrote and solved the equation correctly?
Molly’s work:

Emma’s work:

Alysa’s work:
3 and two-fifths
Maddie’s work:

Answer:
Molly's Work is correct

Explanation:
Let S represent distance covered by Stan and M represent the distance covered by Matt;
Given that the distance covered by Stan is
miles and it is
miles less than that covered by Matt;
This can be represented mathematically as

By substituting
for S;
This gives

By collecting like terms
becomes

Reorder
---- This is the correct equation
Solving further to get the distance covered by Matt;
Split fraction

Collect like terms


Add fraction (Take LCM)


Divide Fraction


Hence, the equation of the system is

and the solution is

Molly’s work is correct