A basket contain green, black and blue balls in the ratio 5 : 2 :...

JAMB 1988

A basket contain green, black and blue balls in the ratio 5 : 2 : 1. If there are 10 blue balls. Find the corresponding new ratio when 10 green and 10 black balls are removed from the basket

A. 1 : 1 : 1
B. 4 : 2 : 1
C. 5 : 1 : 1
D. 4 : 1 : 1

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Correct Answer: Option D

Explanation

Let x represent total number of balls in the basket.

If there are 10 blue balls, \(\frac{1}{8}\) of x = 10

x = 10 x 8 = 80 balls

Green balls will be \(\frac{5}{8}\) x 80 = 50 and black balls = \(\frac{2}{8}\) x 80 = 20

Ratio = Green : black : blue

50 : 20 : 10

-10 : -10 : -
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New Ratio 40 : 10 : 10

4 : 1 : 1