SOLUTION: if the price of eggs rises 10 cents per dozen one will be able to get 2 dozen fewer eggs with 6$ that was possible at a lower price. what was the lower price?

Question 1101202: if the price of eggs rises 10 cents per dozen one will be able to get 2 dozen fewer eggs with 6$ that was possible at a lower price. what was the lower price?
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.

Let L be the lower price per dozen of eggs, in dollars (which is under the question).

Then the new price is (L+0.1) dollars per dozen.      (Notice 0.1 = 0.1 dollars = 10 cents)


At the lower price, the buyer could buy  dozens for 6 dollars.


At the new price, it can buy only  dozens.


The condition says that this difference is 2 dozens:

 -  = 2.


To solve this equation, multiply both sides by L*(L+0.1). You will get

6*(L+0.1) - 6L = 2*L*(L+0.1).


Simplify it step by step:

6L + 0.6 - 6L = 2L^2 + 0.2L,

0.6 = 2L^2 + 0.2L  ====>  2L^2 + 0.2L - 0.6 = 0  ====>  divide by 2 both sides  ====>

L^2 + 0.1L - 0.3 = 0

 =  = .


The only positive root is  L =  = 0.5.


Answer.  The lower price was $0.5 per dozen of eggs.


Check.    = 12;    =  = 10;   12 - 10 = 2   ! Correct !

Solved.

RELATED QUESTIONS
Hi! I have this word problem that I've been trying to figure out for awhile. My... (answered by ankor@dixie-net.com,MathLover1,ikleyn)

A shopkeeper bought 60 dozen eggs at 8.45 per dozen. If 5 fozen eggs are broken at what... (answered by ikleyn)

A trader purchased 10 dozen eggs at £300.00 per dozen.On getting to her shop,she found... (answered by josgarithmetic,MathTherapy)

A store gets a bucket of eggs for $16.20 and sells a dozen eggs for $3.50. If there are... (answered by addingup)

Medium-sized eggs are worth 42 cents per dozen and large-sized eggs are worth 47 cents... (answered by jorel555)

A restaurant uses 144 eggs each day. If eggs cost $.76 per dozen, what is the cost of the (answered by rfer)

The local store is running a special on bacon and eggs. If one of your neighbours paid (answered by josgarithmetic)

Month Average Price per dozen April $1.26 May $1.20 june (answered by stanbon)

A packer sorts eggs by size. She finds 5 dozen large eggs in the first 24 dozen eggs she (answered by josmiceli)