Lisa spends 3/8th of her salary on rent and 5/12 on food. Her roommate, Carrie earns about twice as much as Lisa, spends 1/4th of her salary on the rent and 1/2 on food. If the two women decide to contribute the rest of their salary to charity every month, what fraction of their combined monthly income will they donate.
Hi all!!! Have a small query on a ratio problem. Though it's a relatively simple question, couldn't arrive at the desired solution. it would be great if any of you could help me with this. Thanks in advance![:)]( "Smile")
The answer given is but what I derived is 17/24.
Here are the steps I've followed, please correct me on this note.
x = lisa's salary from which, 3/8x=rent ; 5/12x=food ; remaining towards charity= x- 3/8x-5/12x= 5x/24;
y=Carrie's salary; 1/4y=rent;1/2y=food; charity= y-1/4y-1/2y= 1/4y
but, y=2x ( Carrie's salary twice as much as Lisa's)
Hence Carries contribution to charity= 1/4y = 1/4 *2x= 1/2x
Their combined contribution to charity = 1/2x+ 5/24x = 17/24x
Hence the desired answer is 17/24.
But , the correct answer is
Kindly, help!!!![:?]( "Confused")
Sandhya Iyer![]()
Hi all!!! Have a small query on a ratio problem. Though it's a relatively simple question, couldn't arrive at the desired solution. it would be great if any of you could help me with this. Thanks in advance
The answer given is
[Reveal] Spoiler:
17/72
Here are the steps I've followed, please correct me on this note.
x = lisa's salary from which, 3/8x=rent ; 5/12x=food ; remaining towards charity= x- 3/8x-5/12x= 5x/24;
y=Carrie's salary; 1/4y=rent;1/2y=food; charity= y-1/4y-1/2y= 1/4y
but, y=2x ( Carrie's salary twice as much as Lisa's)
Hence Carries contribution to charity= 1/4y = 1/4 *2x= 1/2x
Their combined contribution to charity = 1/2x+ 5/24x = 17/24x
Hence the desired answer is 17/24.
But , the correct answer is
[Reveal] Spoiler:
17/72
Kindly, help!!!
Sandhya Iyer