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Sagot :
Answer:
$900
Step-by-step explanation:
x = the cost of the tickets
y = the cost of dj & decorations
In the first situation, the profit of -$150 = 75x - y
In the second situation, the profit of $100 = 100x - y
Using the first situation, we isolate y as follows:
-150 = 75x - y
Add y to each side: y-150 = 75x
Add 150 to each side to isolate y
y = 75x + 150
Use this formula in the second situation in place of the y
Original formula: 100 = 100x - y
With substitution: 100 = 100x - (75x + 150)
Simplify to: 100 = 25x - 150
Add 150 to both sides: 250 = 25x
Divide both sides by 25: 10 = x
Input the 10 in for x in either formula above
-150 = 75(10) - y
-150 = 750 - y
Add y to both sides
y - 150 = 750
Add 150 to both sides
y = 900
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