The cost of each adult ticket is $11.43
The cost of each child ticket is $0.14
<u>Step-by-step explanation:</u>
Given,
- The cost of each adult ticket = x
- The cost of each child ticket = y
On the first day,
Anna sells 5 adult tickets and 6 child tickets for a total of $58.00.
⇒ 5x + 6y = 58 ----------(1)
On the second day,
she sells 8 adult tickets and 11 child tickets for a total of $97.00.
⇒ 8x + 11y = 97 ----------(2)
<u>Solving the equations for x and y values :</u>
Multiply eq (1) by 8,
Mu;tiply eq (2) by 5 and subtract it from eq (1),
40x + 48y = 484
- (<u>40x + 55y = 485</u>)
<u> - 7y = - 1 </u>
⇒ y = 1/7
⇒ y = 0.14
The cost of each child ticket is $0.14
Substitute y = 0.14 in eq (1),
⇒ 5x + 6(0.14) = 58
⇒ 5x + 0.84 = 58
⇒ 5x = 58 - 0.84
⇒ 5x = 57.16
⇒ x = 57.16 / 5
⇒ x = 11.43
The cost of each adult ticket is $11.43
