Rajan and Rohit had a total of 468 coins in the ratio 11:7. Rajan's mother gave him 14 more coins and Rohit's mother took a few coins from Rohit. Now, the new ratio of coins is 15:8. How many coins does Rohit have?
Answers
Answer:
160
Step-by-step explanation:
ratio = 11:7
total coins = 468
let the constant to the ratio be x
11x + 7x = 468
18x = 468
x = 468/18
x = 26
thus rajan had 11x = 286 coins and rohit had 7x = 182 coins
Now,
new ratio = 15:8
now rajan has = 286+14 = 300
let total coins Rohit has now be z
300/z = 15/8
z = 300 * 8 / 15
z = 160
thus rohit has 160 coins
2nd way :
ratio = 11:7
total coins = 468
let the constant to the ratio be x
11x + 7x = 468
18x = 468
x = 468/18
x = 26
thus rajan had 11x = 286 coins and rohit had 7x = 182 coins
Now,
new ratio = 15:8
now rajan has = 286+14 = 300
let coins taken from rohit be x
300 / 182-x = 15/8
300*8 = 15( 182 - x )
24000 = 2730-15x
330 = 15x
x = 22
thus his mother took 22 coins from him
thus total coins he has now = 182 - 22
= 160
HOPE IT HELPS
PLEASE MARK AS BRAINLIEST
please
Step-by-step explanation:
hiiiiiiiiiiiiiiiiiiiiiiiiiiii