SOLUTION: Kathi and Robert Hawn had a pottery stand at the annual Skippack Craft Fair. They sold some of their pottery at the original price of $14.50 each, but later decreased the proce of

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Kathi and Robert Hawn had a pottery stand at the annual Skippack Craft Fair. They sold some of their pottery at the original price of $14.50 each, but later decreased the proce of       Log On


   



Question 1113277: Kathi and Robert Hawn had a pottery stand at the annual Skippack Craft Fair. They sold some of their pottery at the original price of $14.50 each, but later decreased the proce of each by $4.00. If they sold all pieces and took in $1101.50, find how may they sold at teh original price and how many they sold at the reduced peice.
Please help!

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
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..., original price of $14.50 each, but later decreased the price of each by $4.00.
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The original price, $14.50
The reduced priced, $10.50

If x were at the original price and y were at the reduced price, then
14.5x%2B10.5y=1101.5
-
29x%2B21y=2203
Look for any whole number values which work (non-negative, whole numbers only).

Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.
Your condition gives only one equation for two unknowns.

The input info in this post is NOT ENOUGH to get a unique solution.

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To see many solved problems for two unknowns, look into the lessons
    - Oranges and grapefruits
    - Using systems of equations to solve problems on tickets
    - Three methods for solving standard (typical) problems on tickets
    - Using systems of equations to solve problems on shares
    - Using systems of equations to solve problems on investment
    - Two mechanics work on a car
    - The Robinson family and the Sanders family each used their sprinklers last summer
    - Roses and vilolets
    - Counting calories and grams of fat in combined food
    - A theater group made appearances in two cities
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Systems of two linear equations in two unknowns".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.