Question 1099115: Hi
megan and olivia had some money.they msde a donation of $100 together. Megan donated 1/5 of her money.after donating 24 dollars olivia had 32 dollars more than megan.what was the total they had at first.
thanks
Found 2 solutions by Theo, ikleyn:
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! not sure if i got this right but this is what i calculated based on my interpretation of your problem.
megan and olivia had some money.
they both made a donation totaling 100 dollars.
megan donated 1/5 of her money
olivia donated 24 dollars.
if we let x = the amount of money that megan started out with and we let y equal the amount of money that olivia started out with then we get.
1/5 * x + 24 = 100
subtract 24 from both sides of this equation to get 1/5 * x = 76
this means that x = 5 * 76 = 380
that's how much megan had before she donated 1/5 of her money.
after donating 24 dollars, olivia had 32 dollars more than megan.
i'm assuming that olivia had 32 dollars more than megan after megan gave 1/5 of her money.
the formula becomes y - 24 = 4/5 * x + 32
add 24 to both sides of this equation to get y = 4/5 * x + 56
since we know that x = 380, then we can solve for y to get y = 4/5 * 380 + 56 which makes y = 360
that's how much olivia had before she donated.
so, .........
megan had 380 and gave 1/5 of it = 76
olivia had 360 and gave 24.
76 + 24 = 100
this is the total of what they both gave.
after megan gave 1/5 of 380, she had 4/5 * 380 = 304 left.
after olivia gave 24 from 360, she had 336 left.
olivia had 336 - 304 = 32 more than megan after they both made their contributions.
hopefully this is the solution you are looking for.
Answer by ikleyn(52817)  (Show Source):
You can put this solution on YOUR website! .
1. Olivia donated 24 dollars, according to the condition.
Hence, Megan donated the rest 100-24 = 76 dollars.
2. These 76 dollars are  what Megan had initially, according to the condition.
Hence, Megan had initially 76*5 = 380 dollars.
3. After donating, Megan had 380 - 76 = 304 dollars.
After donating, Olivia had 32 dollars more than Megan (had after donating), i.e. 304 + 32 = 336 dollars.
4. To these 336 dollars, add that 24 dollars Olivia donated to get 336 + 24 = 360 dollars. It is what Olivia had before donation.
5. Thus we found that before donation Megan had 380 dollars, while Olivia had 360 dollars.
Hence, their total was 380 + 360 = 740 dollars before donation.
It is the solution as it should be.
I mean as it should be presented.
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