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113 adult tickets and 86 senior/child tickets were sold.
What is the equation?
The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal
Let x be the number of adult tickets that were sold.
Let y be the number of senior/child tickets that were sold.
Given that the total value of tickets sold was $2,642.50
Adult tickets sold for $10 each and senior/child tickets sold for $7.50 each.
So 10x + 17.5y = 2,642.50
The number of senior/child tickets sold was 21 less than twice the number of adult tickets sold.
So x - 27 = y ⇒ x - y = 27
Substitute the value of y in the first equation,
10x + 17.5(x - 27) = 2642.50
10x + 17.5x - 472.5 = 2642.50
27.5x = 3115
x = 113.37 ≈ 113
Substitute the value of x in the equation,
So y = 113 - 27 = 86
Hence, 113 adult tickets and 86senior/child tickets were sold.
Learn more about the equation here:
brainly.com/question/10413253
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