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?
63
If N is the number we are looking for, 1) N=7x 2) N= 5y+3, 3) N=4z+3, 4) N<100 From 2) & 3) we get 5) N=20t+3 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 certain family consists of 1 grandfather, 1 grandmother, 2 fathers, 2 mothers, 4 children, 3 grandchildren, 1 brother, 2 sisters, 2 sons, 2 daughters, 1 father-in-law, 1 mother-in-law and 1 daughter-in-law.
How many Members in the Family ??
