SOLUTION: Diana buys 20 apples at x cents each and 40 oranges at x+10 cents. She packs them into bags containing 5 apples and 10 oranges and sells the bags for 20x cents each. Find out the a

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Diana buys 20 apples at x cents each and 40 oranges at x+10 cents. She packs them into bags containing 5 apples and 10 oranges and sells the bags for 20x cents each. Find out the a      Log On


   

Question 1080915: Diana buys 20 apples at x cents each and 40 oranges at x+10 cents. She packs them into bags containing 5 apples and 10 oranges and sells the bags for 20x cents each. Find out the amount that Diana paid for each apple if she obtained a total of $24 from selling all the fruits.
Thank you so much!
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
5 apples at 10 oranges go into a bag
That would be 4 bags of apples and oranges sold for 4*20x=80x cents
The cost is 20x cents + 40(x+10) cents=20x+40x+400=60x+400 cents
She obtained $24.00 from selling, which is 2400 cents=80x cents
x=30 cents
She paid $6 for the apples, and the answer wanted is 30 cents per apple.
She paid $16 for the oranges ($0.40*40)