## Related questions with answers

Use a system of equations to solve the following problems. See the earlier examples.

A tour organizer is planning on taking a group of 40 people to a musical. Balcony tickets cost $\$ 29.95$ and regular tickets cost $\$ 19.95$, and she collects a total of $\$ 1048.00$ from her group to buy the tickets. How many people chose to sit in the balcony?

Solution

VerifiedThe given situation can be used to form 2 equations. Therefore, let $r$ be the number of regular tickets and $b$ be the number of balcony tickets. Together the sum of tickets is equal to 40. Form Equation 1:

$\begin{equation*} r+b=40 \end{equation*}$

Now use the values of each type of ticket and the total amount collected to form Equation 2:

$\begin{equation*} 19.95r+29.95b=1048 \end{equation*}$

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