Question

Madge and Molly had the same amount of money Madge buys 4 sandwiches and £6 change, Molly buys 5 sandwiches and gets £3 change. How many did they both begin with?

Answer 1

$\huge\bold{\textbf{\textsf{{\color{cyan}{Answer}}}}}$

Three of the sandwiches were evenly divided among the students

i.e. Amount of Sandwiches with each students

= 3/m

Amount of 4th Sandwich with remaining (m-4) students

= 1/(m-4)

The amount of Sandwich that carol ate

= 3/m + 1/(m-4)

= 3/m + 1/(m-4)= (3m-12+m)/[m(m-4)]

= 3/m + 1/(m-4)= (3m-12+m)/[m(m-4)] = (4m-12)/[m(m-4)]