A shopper asked for 50 cents worth of apples. The shopper was surprised when she received five more than the previous week. Then she noticed that the price had dropped 10 cents per dozen. What was the new price per dozen?
x = new price
x+10 = old price
50/x = 50/(x+10)+5/12
12x(x +10)(50/x) = 12x(x+10)50/(x+10)+12x(x+10)5/12
600x +6000 = 600x +5x^2 +50x
5x^2 +50x -6000 = 5(x^2+10x-1200)
5(x-30)(x+40) =0
x =30
so the new price is 30 cent
New price = x, old price = x+10
x+x+10=50 2x=60 2x/2 60/2 x=30c
To find the new price per dozen, we need to determine the original price per dozen and the change in price. Let's go step by step.
First, let's find the original price per dozen. We know the shopper asked for 50 cents worth of apples, and the price has dropped by 10 cents per dozen. Since the shopper received five more apples than the previous week, we can calculate the original number of apples she received.
If 50 cents worth of apples translates to five more apples than the previous week, we need to subtract five from the total number of apples she received to find the original number. To do this, we need to know the value of one apple.
Therefore, we need to know the total number of apples she received. Let's assume that information is not provided.