Question 1086296
their pocket money is in the ratio of 5 to 7.
their expenses are in the ratio of 3 to 5.
they each save 80 rupees each month.


your formula would get:


you would get 2x = 80 which results in x = 40.
you would get 2y = 80 which results in y = 40.


i'm not sure what x or y would represent.


you actually have 4 variables that need to be solved for.


they are ravi monthly pocket money and sanjiv pocket money and ravi expenditures and sanjiv expenditures.


bottom line is it doesn't look right.


i tried an alternate approach and i got an answer that makes sense.


this is what i did.


your problem is:


The monthly pocket money of Ravi and Sanjiv are in the ratio of 5 to 7 and their expenditures are in the ratio of 3 to 5.
if each saves rupees 80 every month. Find their monthly pocket money.


let a equal the pocket money that ravi gets and let b equal the pocket money that sanjiv gets.


the ratio becomes a/b = 5/7


let c equal the expenditures of ravi and let d equal the expenditures of sanjiv.


the ratio becomes c/d = 3/5


from a/b = 5/7, you can solve for a to get a = 5b/7


from c/d = 3/5, you can solve for c to get c = 3d/5


the formula for savings is savings = pocket money minus expenditures.


you know that both ravi and sanjim save 80 rupees per month.


you get a - c = 80 and you get b - d = 80


since they are both equal to 80, then you get a - c = b - d


since a = 5b/7 and c = 3d/5, then you get:


5b/7 - 3d/5 = b - d


multiply both sides of this equation by 35 and you get:


25b - 21d = 35b - 35d


subtract 25b from both sides of this equation and add 35d to both sides of this equation and you get:


35d - 21d = 35b - 25b


simplify to get:


14d = 10b


solve for b to get:


b = 1.4d


from b - d = 80, replace b with 1.4d and you get:


1.4d - d = 80


simplify to get .4d = 80


solve for d to get d = 200


when d = 200, then b - d = 80 becomes b - 200 = 80.


this results in b = 280.


you now have b = 280 and d = 200


you know that a = 5b/7 and c = 3d/5, so you get:


a = (5 * 280) / 7 = 200


c = (3 * 200) / 5 = 120


you now have:


a = 200 = ravi monthly pocket money
b = 280 = sanjiv monthly pocket money
c = 120 = ravi monthly expenditures
d = 200 = sanjiv monthly expenditures


you know that ravi and sanjiv both save 80 rupees per month.


for ravi, this becomes 200 - 120 = 80


for sanjiv, this becomes 280 - 200 = 80


solution looks good.


rajiv monthly pocket money is equal to 200 rupees.
sanjiv monthly pocket money is equal to 280 rupees.


the pocket money ratio is a / b = 200 / 280 = 5 / 7.


the expenditure ratio is c / d = 120 / 200 = 3 / 5.