Answer:
2 adult tickets
Explanation:
we have two relations
![a + c = 5](https://img.qammunity.org/2022/formulas/mathematics/high-school/ldw0kj8z5fw7d4wsvye8u7nvgefdz9p8cz.png)
![9a + 4c = 30](https://img.qammunity.org/2022/formulas/mathematics/high-school/oe6x3sgrugnalicfniztu8u2cvh4a9jey2.png)
first rearrange the top equality for one of the variables
![a = 5 - c](https://img.qammunity.org/2022/formulas/mathematics/high-school/unh6fgttxa5wicyy3ck4m0rt0qxq5alirw.png)
now substitute into the second equation
![9(5 - c) + 4c = 30](https://img.qammunity.org/2022/formulas/mathematics/high-school/ndwsef3iz02witptc65mgyk7331ssjj4zu.png)
perform the distribution and combine like terms
![45 - 9c + 4c = 30](https://img.qammunity.org/2022/formulas/mathematics/high-school/4w47527fgoxm8hr12hyxp7p3wjw2jrpzr1.png)
![45 - 5c = 30](https://img.qammunity.org/2022/formulas/mathematics/high-school/zuar8s9tzbhregg0k506d8floeqp7cw942.png)
![- 5c = - 15](https://img.qammunity.org/2022/formulas/mathematics/high-school/v63dpur63bubwbcsu84i6h38ryqjxl46fh.png)
![c = 3](https://img.qammunity.org/2022/formulas/mathematics/college/9nl270fxqrmgt4y5dwe7h13u8gkfj0t2as.png)
place this 3 into our first equation and solve for a
![a + (3) = 5](https://img.qammunity.org/2022/formulas/mathematics/high-school/hx2pkrivsbosfnflq1rj1anbeugztcquwc.png)
![a = 2](https://img.qammunity.org/2022/formulas/mathematics/college/u1p8x5osrr4mrrrb3bb5o0srahqg4ke3yv.png)