Hi
Bunuel My query is not specific to this particular question, but it is regarding questions with statements like statement 1 of this question.
I have noticed that in equations, where the variables are positive integers, it is often possible to arrive at one distinct combination of values that satisfy the constraint/ equation. In such a case- the two variables, one equation concept does not apply.
My question is: How does one identify where the "two variables, one equation" applies and in which scenario are we to check for all possible value combinations for the variables, given the constraints? Is there some sort of rule of thumb or certain equation criteria that I can keep in mind to decide which approach to use for which kind of equation?
I took about 6 mins to solve this question, because I started plugging in values for the variables one at a time, till I got two values for the variables- rendering the statement insufficient.
eg.
1.5B - 100x = 1325
1.5B = 1325 + 100(1) ----> x=1, B= 950
1.5B = 1325 + 100(2)
1.5B = 1325 + 100 (3)
1.5B = 1325 + 100(4) ----> x=4, B= 1150
and so on..
Bunuel
In 1995 Division A of the company had 4850 customers, If there were 86 servise errors in Division A that year,what was servise error rate, in number of servise errors per 100 customers in Division B of the company in 1995?Question \(\frac{x}{B}100=?\) Where x is the servise errors in Division B and B is # of customers of division B.
(1) In 1995 the overall service error rate for Division A and B combined was 1,5 errors per 100 customers.
\(\frac{86+x}{4850+B}=\frac{1.5}{100}\), two variables one equation - can not solve for variables. Also can not get the ratio needed. Not sufficient.
(2) IN 1995 division B had 9350 customers, non of whom were customers for division A
B=9350, clearly insufficient.
(1)+(2) We know the value of B, hence we can calculate x, from (1) and the fraction \(\frac{x}{B}\). Sufficient.
Answer: C.