Question

13) The school that Natalie goes to is selling tickets to a play. On the first day of ticket sales the

school sold 13 adult tickets (x) and 11 student tickets (y) for a total of $129. The school took in
$66 on the second day by selling 13 adult tickets and 2 student tickets. What is the price each of
one adult ticket and one student ticket?
pls help bro

Answer 1

Adult ticket = $4

Student ticket = $7

Explanation:

• On first day:

`{ \rm{13x + 11y = 129 - - - \{eqn(a) \}}}`

• On second day:

`{ \rm{13x + 2y = 66 - - - \{eqn(b) \}}}`

• Solving simultaneously;

Equation (a) - Equation (b):

`- { \underline{ \rm{ \binom{13x + 11y = 129}{13x + 2y = 66} }}} \\ { \rm{00x + 9y = 63}} \\ \\ { \rm{y = (63)/(9) }} \\ \\ { \boxed{ \rm{ \: y = 7 \: }}} \\ \\ { \rm{13x + 2(7) = 66}} \\ \\ { \rm{13x + 14 = 66}} \\ \\ { \rm{13x = 52}} \\ \\ { \boxed{ \rm{x = 4}}}`

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