SOLUTION: Sofia received a sum of money from a donor agency. She used one quarter of this amount to pay the salaries of her workers and one quarter of the remaining amount to pay rent. Aft

Question 1121276: Sofia received a sum of money from a donor agency. She used one quarter of this amount to pay the salaries of her workers and one quarter of the remaining amount to pay rent. After paying rent, Meme Sofia donated one fifth of the left over amount to charity and put the remaining $360000 in a savings bank
1. What fraction of the total amount did Sofia pay for rent
2. What fraction of the total amount did Sofia give to charity
3 How much did Sofia receive from the donor Agency?
Found 2 solutions by solver91311, greenestamps:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Let represent the amount that she had right after she paid the rent but before she gave to charity. Then must be the amount she gave to charity and must be the amount that she put in the bank, so:

Then is the amount that she had after salaries but before rent, and since rent was 25% of that amount:

And then , the total amount of the donation before salaries were paid, and salaries were 25% of that amount:

Calculate . Then calculate Charity: . Then calculate using the value of . Then calculate Rent: . Then calculate which is the answer to your third question. Then calculate the Rent amount divided by your answer to the third question for the answer to the first question. Then calculate the Charity amount divided by the answer to the third question to get the answer to the second question.

John

My calculator said it, I believe it, that settles it

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Original amount: x

pay to workers: (1/4)x; remaining: (3/4)x

pay rent: (1/4)(3/4)x = (3/16)x; remaining: (3/4)(3/4)x = (9/16)x

donation to charity: (1/5)(9/16)x = (9/80)x; remaining: (4/5)(9/16)x = (9/20)x

The amount remaining at this point was $360000:

Answers:

1) fraction paid for rent: 3/16
2) fraction given to charity: 9/80
3) she received $800,000 from the donor agency.

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