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The number of tickets sold of child is 30, of adult is 50 and total 80.
What is an equation?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign.
What equation will form for the given scenario and find the number of tickers sold.
Let x be the number of child ticket sold.
As the ticket of adult sold is 10 less than twice of child's ticket so the number of adults tickets sold is 2x-10.
The cost of a child ticket is $5. so, the revenue from the child's ticket is $5x.
The cost of a child adult is $8. so, the revenue from the child's ticket is $8(2x-10) or on simplifying it will be $(16x-80).
The total revenue is $550 so, the equation formed will be 5x+16x-80=550.
on solving the equation we will get x=30.
So, the number of tickets sold of child is 30.
The number of tickets sold of adult is 2*30-10=50.
The total number of tickets sold is 30+50=80.
Therefore, child-30, adult-50, total-80 tickets are sold.
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