Hi
As asked by you,
"What is the correct approach to resolve ambiguity between:
B = 1/2 * O or 2B = O ... (1)
or
ratio of B:O = 1:2 .... (2) "
there is no ambiguity both equations are perfectly correct, but it is quite cumbersome to solve equations.
So it is recommended that when ratio is given, like in this question.
Ration of Balcony/Orchestra = 1/2, hence if balcony tickets = x, orchestra is 2x.
Now you can proceed.
Refer the explanation provided above, @hemavakvade has provided a lucid explanation.
If you don't get the explanation, feel free to tag me again.
adkikani
niks18 Quote:
For a certain concert, the price of balcony tickets was exactly
half the price of orchestra tickets. The ratio of balcony to orchestra
tickets sold was 3:2. What was the price of one orchestra ticket?
(1) the total revenue taken in from tickets of both kinds was $4200
(2) the difference between the number of balcony tickets sold and the number of orchestra tickets sold was 40
Let:
B : price of each balcony ticket
O : price of each orchestra ticket
total no of Balcony tickets sold: x
total no of orchestra tickets sold: y
What is the correct approach to resolve ambiguity between:
B = 1/2 * O or 2B = O ... (1)
or
ratio of B:O = 1:2 .... (2)
I ended up messing this solution taking far too many as 4 variables.
Q stem: x:y = 3:2
St1: Bx + Oy = 4200
St 2: x-y = 40