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Question 1139009: Ariel ran an errand for her neighbor.
She went to the store and bought 24 pieces of fruit.
She purchased three times as many oranges as bananas.
On her way home, Ariel accidentally dropped twice as many oranges as bananas.
She still managed to deliver 15 pieces of fruit to her neighbor.
How many oranges were there?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! an implicit assumption here seems to be that she only bought oranges and bananas and no other type fruit.
based on that assumption, this is what i get>
let b = the number of bananas.
let o = the number of oranges.
o + b = 24
you are given that the number of oranges bought is 3 times the number of bananas bought.
therefore, o = 3b.
replace o in the equation of o + b = 24 to get 3b + b = 24 which results in 4b = 24 which results in b = 6.
since o = 3b, then o = 18.
she bought 18 oranges and 6 bananas.
on her way home, she dropped twice as many oranges as bananas.
she still manage to deliver 15 pieces to her neighbor.
she started with 24 and wound up with 15.
24 - o - b = 15.
since o = 2 * b, this equation becomes 24 - 3b = 15.
add 3b to both sides of this equation and subtract 15 from both sides of this equation to get 25 - 15 = 3b
solve for b to get b = 3.
since o = 2b, then you get o = 6.
she dropped 3 bananas and 6 oranges.
she had 18 oranges and 6 bananas to start with.
after she dropped 6 oranges and 3 bananas, she had 12 oranges and 3 bananas left fora total of 15 pieces of fruit.
your question was how many oranges were there.
she bought 18 oranges.
she delivered 12 oranges.
if the question was how many oranges were there to start with, the answer is 18.
if the question was how many oranges ere delivered, the answer is 12.
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