savita has some red balls and ajay has some green balls.the ratio of number of balls that belongs to Savita and ajay is 2:3.savita gave 1/4 of her balls to jaya and ajay gave 3/4 of his balls yo jaya .what is the ratio of the number of red and green balls that ajay has
Answers
Step-by-step explanation:
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Given,
The ratio of red ball Savita has and green balls Ajay has = 2:3
Savita gave 1/4th of her red balls to Ajay
Ajay gave 3 / 4th of his green balls to Savita
To Find,
The ratio of the number of red and green balls that Ajay has =?
Solution,
Let x be a number such that
The number of red balls Savita has = 2x
The number of green balls Ajay has = 3x
Savita gave 1/4th of her red balls to Ajay
Savita gave = 1 / 4 of 2x red balls
Savita gave = x/2 red balls to Ajat
Ajay does not have any red ball. So,
Total red balls Ajay has = x / 2
Ajay has 3x green balls
Ajay gave 3 / 4th of his green balls to Savita
Ajay gave = 3 / 4 of 3x green balls
Ajay gave = 9x / 4 green balls
Total green balls Ajay has now = 3x - 9x / 4
Total green balls Ajay has now = (12x - 9x) / 4
Total green balls Ajay has now = 3x / 4
The ratio of red and green balls Ajay has = x / 2 ÷ 3x / 4
The ratio of red and green balls Ajay has = (x * 4) / (2 * 3x)
The ratio of red and green balls Ajay has = 4 / 6
The ratio of red and green balls Ajay has = 2 / 3
Hence, the ratio of the number of red and green balls that Ajay has is 2:3.