Question 47191This question is from textbook
: The Madison Local High School marching band sold gift wrap to earn money for a band trip to Orlando, Florida. The Gift wrap in solid colors sold for $4.00 per roll, and the print gift wrap sold for $6.00 per roll. The total numer of rolls sold was 480, and the total amount of money collected was $2340. How many rolls of each kind of gift wrap were sold?
This question is from textbook
Answer by tutorcecilia(2152)   (Show Source):
You can put this solution on YOUR website! Start with the basic formula: A + B = C
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(Rate of A)(Number of items A) + (Rate of B)(Number of items B) = Total amount C
[Do not add, multiply or combine Rate A with Rate B.
Rate = miles/hour; cost ($); percents (%), etc.
Number of items = total count of each item.]
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($4.00)(x) + ($6.00)(480-x) =$2340 [Plug in the values. Use A + (C-A) = C for the "number of items"]
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4x + 2880 - 6x = 2340 [Multimply]
4x - 6x + 2880 - 2880 = 2340 - 2880 [Combine like terms and solve for "x"]
-2x = -540
x = 270
So, solid colors = 270
and the print wrap = (480-x) = 480-270 = 210
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Check by plugging (x=270) back into the original equation.
($4.00)(x) + ($6.00)(480-x) =$2340
($4.00)(270) + ($6.00)(480-270) =$2340
($1080) + (6)(210) = $2340
$2340=$2340 [Checks out]
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