Question 498718: Leslie set up a fruit stand to sell some of her crop of oranges. The first person who came by brought 1/3 of her oranges. The second person brought 4. The third person brought 1/4 of the remaining oranges. Leslie took the last 15 oranges home and made orange juice. How many oranges did leslie have at the beginning?
Answer by ptaylor(2198)   (Show Source):
You can put this solution on YOUR website! Let x=number of oranges that Leslie had at the beginning
After the first person came and bought a third, she had x-(1/3)x=(2/3)x left
After the second person bought 4, she had (2/3)x-4 left
After the third person bought a fourth of the remaining, she had ((2/3)x-4))-1/4((2/3)x-4) left and we are told this equals 15, sooooo
((2/3)x-4)-1/4((2/3)x-4)=15 lets first multiply each term by 4
4(2/3)x-4)-(2/3)x+4=60
(8/3)x-16-(2/3)x+4=60
(6/3)x-12=60
2x=72
x=36----amount she had at the beginning
Ck
36-(1/3)*36=24
24-4=20
20-(1/4)*20=15
15=15
Hope this helps---ptaylor
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