Tutorial Question A survey of consumer profile of 3 commodities, A, B & C
among 140 consumers revealed the following conditions:
14 patronise B only
39 patronise C only
9 patronise A & C but B
14 patronise A & B
82 patronise either B or C or both but not A
60 patronise either A or B or both but not C
Calculate:
(i) The number of consumers who patronize all the
products
The number of those who patronize at least 2 products
(111) The number of those who patronize one product.
(ii)​

Arrange the steps to solve this system of linear equations in the correct sequence. x + y = -2 2x – 3y = -9 tiles subtract 3x + 3y = -6 (obtained in step 1) from 2x – 3y = -9 (given) to solve for x. substitute the value of x in the first equation (x + y = -2) to get y = 1. the solution for the system of equations is (-3, 1). x = -15 the solution for the system of equations is (-15, 13). add 3x + 3y = -6 (obtained in step 1) to 2x – 3y = -9 (given), and solve for x. x = -3 substitute the value of x in the first equation (x + y = -2) to get y = 13. multiply the first equation by 3: 3(x + y) = 3(-2) 3x + 3y = -6.