Source: Manhattan Prep
A casino pays players using purple and orange chips; each purple chip is worth p dollars, and each orange chip is worth n dollars. If p and n are integers, what is the combined value of two purple chips and one orange chip?
1) The combined value of five purple chips and seven orange chips is 53 dollars.
2) The combined value of six purple chips and three orange chips is 42 dollars.
The OA is D
A casino pays players using purple and orange chips; each
This topic has expert replies
we have to find 2p + n = ?
from 1 :
5p + 7n = 53
it is a good method to solve this equation by putting numbers.
Since 7 is bigger than 5, hence we will have to put smaller number of values for n.
Doing this way, we get p =5, n =4
So, 2p + n = 14
Hence, sufficient.
From 2,
6p+ 3n =14
taking 2 out as common factor, 2p + n =14
This is what was needed to be found out.
Hence, suffcient.
Answer D
from 1 :
5p + 7n = 53
it is a good method to solve this equation by putting numbers.
Since 7 is bigger than 5, hence we will have to put smaller number of values for n.
Doing this way, we get p =5, n =4
So, 2p + n = 14
Hence, sufficient.
From 2,
6p+ 3n =14
taking 2 out as common factor, 2p + n =14
This is what was needed to be found out.
Hence, suffcient.
Answer D