Question

A theater contains 447 seats in a ticket prices for a recent play were $59 for adults and $50 for children if the total proceeds are 14,977 through sort out mentee how many of each type of ticket were sold

Answer 1

Let's call X the number of adults and Y the number of children

if the theater contains 447 seats, the first equation is:

X + Y = 447

Additionally, ticket prices were $59 for adults and $50 for children and the total proceeds are 14,977, so, the second equation is:

59X + 50Y = 14977

Solving for Y on the first equation and replacing on the second we get:

$Y=447-X$$\begin{gathered} 59X+50(447-X)=14977 \\ 59X+22350-50X=14977 \end{gathered}$

Solving for X, we get:

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