The answer is $25.
x - the price of an adult ticket
y - the price of a child ticket
The Jones <span>paid $74 for 2 adults and 2 children: 2x + 2y = 74
The Tuckers paid </span><span>$86 for 2 adults and 3 children: 2x + 3y = 86
This is the system of two equations:
</span>2x + 2y = 74
2x + 3y = 86
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Multiply the first one by (-1)
2x * (-1) + 2y * (-1) = 74 * (-1)
2x + 3y = 86
____
-2x - 2y = -74
2x + 3y = 86
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Sum the equations:
2x - 2x + 3y - 2y = 86 - 74
y = 12
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Substitute y in the first equation to find x:
2x + 2 * 12 = 74
2x + 24 = 74
2x = 74 - 24
2x = 50
x = 50/2
x = 25
So, the price of the adult ticket is $25 and the price of the child ticket is $12.
Answer:
Step-by-step explanation:
When two or more quantities have the same exponents, their bases can be multiplied together.
-2n(5 + n - 8 - 3n)
-10n - 2n² + 16n + 6n²
4n² + 6n
The answer is A. You can solve this by plugging the X values from the table into the equation and seeing if you end up with the right Y value.
