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the student council budget for a party is as follows music $725.00, Refreshments $750.00, decorations $325.00 and supplis $120.00. They need to increase the amount for music to $725.00 but they must keep the same total amount. They want to decrease the amount for the others items equally. Make a revised budget. Answer must be in equations form

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Sep 29, 2011
Equation - Budget for a Party
by: Staff


The question:

the student council budget for a party is as follows music $725.00, Refreshments $750.00, decorations $325.00 and supplis $120.00. They need to increase the amount for music to $725.00 but they must keep the same total amount. They want to decrease the amount for the others items equally. Make a revised budget. Answer must be in equations form


The answer:

(From what I have been able to find, the original budget for the music was $500 rather than $750. I’ll proceed with the problem on that basis.)


Original Budget

Music . . . . . . . . . $500.00
Refreshments . . . $750.00
Decorations . . . . $325.00
Supplies . . . . . . . $120.00

Budget Total . . .$1695.00


Revised Budget:

1. Increase the music budget to $750.00
2. Keep the budget total = $1695.00
3. Decrease the budget for Refreshments, Decorations, and Supplies equally

$1695 = Music + Refreshments + Decorations + Supplies

$1695 = (500.00 + 250.00) + (750.00 - 250/3) + (325.00 - 250/3) + (120.00 - 250/3)


Revised budget, example

Music . . . . . . . . . $750.00 = 500.00 + 250.00
Refreshments . . . $666.67 = 750.00 - 250/3
Decorations . . . . $241.67 = 325.00 - 250/3
Supplies . . . . . . . $36.66 = 120.00 - 250/3

Budget Total . . .$1695.00


This solution can be written in equation form:

$1695 = (500.00 + x) + (750.00 - x/3) + (325.00 - x/3) + (120.00 - x/3)

x represents the increase in the music budget.




Thanks for writing.

Staff
www.solving-math-problems.com



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