Question

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?

Answer 1

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

Answer 2

New price = x, old price = x+10
x+x+10=50 2x=60 2x/2 60/2 x=30c