Question

use the information to answer the following questionsMr.Ramirez purchased 20 concert tickets for a total of $225 the concert tickets cost $15 for adults and $10 for children under the age of 12Part c: what does the solution to the system of equations represent in the context of the problem?

Answer 1

Given data:

The total numbers of tickets purchased is a+b=20.

The total cost of the tickets is 15a+10b=225.

The first equation can be written as,

$a=20-b$

Substitute the above expression in the second equation.

$\begin{gathered} 15(20-b)+10b=225 \\ 300-15b+10b=225 \\ -5b=-75 \\ b=15 \end{gathered}$

The value of a is,

$\begin{gathered} a=20-15 \\ =5 \end{gathered}$

Thus, the numbers of tickes purchased by children are 15, and the numbers of tickets purchased by adults are 5.