A theatre group has fewer than 100 members. They can stand in groups of seven with no one left over.
However, when they stand in groups of four, there are three people left over, as when they stand in groups of five.
How many members are in the group?
If N is the number we are looking for,
2) N= 5y+3,
From 2) & 3) we get
The only number satisfying 1) & 4) & 5) is 63
A group of students decided to collect as many dollars from each member of the group as is the number of members. If the total collection amounts to $2209, then guess the minimum number of members in the group.
The workforce of a firm is divided into 4 groups for allocation to different projects. Each group is a motley of Managers, Technicians and Executives.
Group I : 1 Manager, 1 Technician and 1 Executive
Group II : 1 Manager, 5 Technicians and 7 Executives
Group III : 1 Manager, 7 Technicians and 10 Executives
Group IV : 9 Managers, 23 Technicians and 30 Executives
The cumulative wage of all the members of Group II costs $300 and that of Group III members costs $390.
Can you calculate, what wage expense the Company bears for Group I and Group IV members?
A cycling group are on a five day ride for charity.
On the first day they cover one third of the total distance, the next day they cover one third of what is left, the following day they cover one quarter of the remainder and on the fourth day they cover half of the remaining distance.
The group now have 15 miles left to cycle.
How many miles have they travelled?
A certain family consists of
1 mother-in-law and
How many Members in the Family ??