There are y yellow marbles and b blue marbles in a box. 18% of the yellow marbles were added to 24% of the blue marbles, and the total was 30. Three times the number of yellow marbles exceeds two times the number of blue marbles by 200. What is the ratio of y2 to b2?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 4 : 1.
0.18y + 0.24b = 30
⇒ 3y + 4b = 500 .....(1)
3y - 2b = 200 .....(2)
From equations (1) and (2), we get
b = 50 and y = 100
So, y2 : b2 = (100)2 : (50)2 = 10000 : 2500 = 4 : 1
Therefore, the required ratio is 4 : 1.