Question

Grayson’s Groupcycles rents bikes with multiple seats for large groups of people.
They rent 7-seater, 13-seater, and 25-seater bikes. A group of 14 people could fit
on two 7-seater bikes, however a group of 15 people could not fit exactly on any
of the bikes since no combination of bikes have exactly 15 seats.
What is the largest group size under 100 that cannot fit exactly on any combination of
bikes from Grayson’s Groupcycles?

Answer 1

Since a group of 15 people cannot fit exactly on any combination of bikes, the largest group size under 100 that cannot fit exactly on any combination of bikes is 15.