SOLUTION: 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 t

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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(52832)   (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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