SOLUTION: A man buys 12 apples every month. If the price fall by 40%, how many more apples would he be able to buy for the exact same amount?

Question 623949: A man buys 12 apples every month. If the price fall by 40%, how many more apples would he be able to buy for the exact same amount?
Found 2 solutions by josmiceli, Theo:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the price he pays per apple
= price for 12 apples
is price per apple after 40% drop
------------
So, he still wants to spend with = price/apple
Let = number of apples he can buy

This is more apples than before for the same amount

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
z equals what he pays each month.
x equals the price he pays each month.
he buys 12 apples at a cost of x.
the equation becomes:
z = 12x
the price drops 40%.
the new price is now .6x per apple.
he still pays the same each month, so the new equation is:
z = y*.6x where y is the new number of apples he can now buy.
since both expressions on the right side of the equations equal z on the left side of the equations, you can set the expressions equal to each other to get:
12x = y*.6x
divide both sides of this equation by .6x and you get:
12x / .6x = y
x cancels out and you are left with:
y = 12/.6 which simplifies to:
y = 20
if the price drops 40% he can buy 20 apples each month rather than 12 apples each month.
assume he pays 1.00 per apple.
12 * 1.00 = 12.00 what he pays each month.
the price drops by 40% which means the price per apple is now 60 cents.
20 * 60 cents = 12.00 dollars.
he pays 12.00 for 12 apples at the old price and he pays 12.00 for 20 apples at the new price.

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