SOLUTION: Rui Feng has enough money to buy 24 apples.If the price of each apples is reduced by 5 cents, he will be able to buy an extra 6 apples with the same ammount of money. Find the orig

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: Rui Feng has enough money to buy 24 apples.If the price of each apples is reduced by 5 cents, he will be able to buy an extra 6 apples with the same ammount of money. Find the orig      Log On


   

Question 1120819: Rui Feng has enough money to buy 24 apples.If the price of each apples is reduced by 5 cents, he will be able to buy an extra 6 apples with the same ammount of money. Find the original price of each apples.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Rui Feng has enough money to buy 24 apples.
If the price of each apples is reduced by 5 cents, he will be able to buy an extra 6 apples with the same amount of money.
Find the original price of each apples.
:
let a = the original price of the apples
"has enough money to buy 24 apples." therefore:
24a = the amt of money he has
:
six more means he can buy 30 apples
30(a-5) = 24a
30a - 150 = 24a
30a - 24a = 150
6a = 150
a = 150/6
a = 25 cents is the original price for each apple
:
:
Check this. 24 * 25 = 600 cents or $6 the amt of money he has
find the no of apples he can buy for 20 cents (5 cents cheaper)
600/20 = 30 apples