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Let
be the price of an adult ticket, and
the price of a child ticket.
The sentence "Three adults and four children must pay $122 for tickets" translates to 
The sentence "Two adults and three children must pay $87" translates to 
Which leads to the linear system

You can solve this system as you prefer, for example you can multiply the first equation by 2 and the second by 3 to get

Now subtract the first from the second:

Now plug this value for c in any of the equations, for example the first:

Answer:
600 times
Step-by-step explanation:
Answer:
9x² + 12
Step-by-step explanation:
Area = Length × Width
Area = 3 × (3x² + 4)
Area = 9x² + 12
The length of rectangle is 105 cm and width is 98 cm.
Step-by-step explanation:
Given,
Perimeter of rectangle = 406 cm
Let,
w be the width of rectangle
Length of rectangle = w+7
We know that
Perimeter of rectangle = 2(Length + Width)

Dividing both sides by 4

Width of rectangle = 98 cm
Length of rectangle = 98+7 = 105 cm
The length of rectangle is 105 cm and width is 98 cm.