SOLUTION: Rita makes and sells necklaces. The materials to make each necklace cost $2.75. Last week she made 8 necklaces and wants to make a total profit of $78. Using the equation 8 (x + 2.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Rita makes and sells necklaces. The materials to make each necklace cost $2.75. Last week she made 8 necklaces and wants to make a total profit of $78. Using the equation 8 (x + 2.      Log On


   

Question 1159831: Rita makes and sells necklaces. The materials to make each necklace cost $2.75. Last week she made 8 necklaces and wants to make a total profit of $78. Using the equation 8 (x + 2.75) = 78, Rita determined that she needs to sell each necklace for $7 to make a total profit of $78. Which error did Rita make?
Found 3 solutions by josgarithmetic, MathLover1, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
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The materials to make each necklace cost $2.75. Last week she made 8 necklaces and wants to make a total profit of $78.
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Cost for 8 necklaces
2.75%2A8

Price x for profit of 78 dollars
8x-2.75%2A8=78
8x=78%2B2.75%2A8
x=%2878%2B2.75%2A8%29%2F8
highlight_green%28x=12.5%29

Answer by MathLover1(20850) About Me  (Show Source):
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8+%28x+%2B+2.75%29+=+78->Rita made error in the equation
if the number of necklaces is x, and the materials to make each necklace cost is $2.75, Rita needed to subtract cost because she wants total profit of $78
8+%28x+-+2.75%29+=+78
+x+-+2.75+=+78%2F8
+x+-+2.75+=+9.75
+x+=+9.75%2B2.75+
+x+=+12.5+-> she needs to sell each necklace for $12.5+ to make a total profit of $78

check:
she made 8 necklaces
each necklace cost $2.75-> total cost is each necklace cost $8%2A2.75=22
if she sell them for $12.5 each, she would earn amount of $12.5%2A8=100
from that amount she subtract cost which is $22
$100-22=78-> which is her profit


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Rita makes and sells necklaces. The materials to make each necklace cost $2.75. Last week she made 8 necklaces and wants to make a total profit of $78. Using the equation 8 (x + 2.75) = 78, Rita determined that she needs to sell each necklace for $7 to make a total profit of $78. Which error did Rita make?
ERROR made: 

The CORRECT equation above should give her a sale price of $12.50, each.