Tom and Ali had money in the ratio 6:11. The ratio of Tom’s expenditure to that of Ali is 4:3. If Tom spent 1/3 of his money and Ali had $475 left, how much did each of them have at first?
2 answers
Tom had $360 and Ali had $630 at first.
Totally WRONG
That set of answers is not even in the ratio of 6:11
tom : ali = 6:11 = 6x : 11x
expenses:
tom : ali = 4:3 = 4y : 3y
Ali has left: 6x - 4y
4y = (1/3)6x)
4y = 2x
x = 2y
For ali:
11x - 3y = 475
22x - 3y = 475
y = 25 , then x = 50
so tom had 6x or $300
ali had 11x or $550
check: tom:ali = 300:550 = 6:11 , check!!
ali has 475 left. Is 550 - 3(25) = 475, Check!!!
my answer is correct
That set of answers is not even in the ratio of 6:11
tom : ali = 6:11 = 6x : 11x
expenses:
tom : ali = 4:3 = 4y : 3y
Ali has left: 6x - 4y
4y = (1/3)6x)
4y = 2x
x = 2y
For ali:
11x - 3y = 475
22x - 3y = 475
y = 25 , then x = 50
so tom had 6x or $300
ali had 11x or $550
check: tom:ali = 300:550 = 6:11 , check!!
ali has 475 left. Is 550 - 3(25) = 475, Check!!!
my answer is correct
1 answer