The group attended to the museum. They were 8 girls and 6 adults. So, we should calculate the total paid amount for the 6 adults, then calculate the paid amount for the 8 girls and then add up this two results.
The ticket for an adult costs $50. Since we have 6 adults, the amount paid for the adults' ticket was
![50\text{ + 50 + 50 + 50 + 50 +50 = 6}\cdot50\text{ = 300}](https://img.qammunity.org/2023/formulas/mathematics/college/tlbfppnmuczwz9jcg4evcbpj3g9wv83oqs.png)
So the adults' tickets costed 300. For the girls, one child ticket costs $30. So, the amount paid for the girls' tickets was
![8\cdot\text{ 30 = 240}](https://img.qammunity.org/2023/formulas/mathematics/college/6gnhsmsat0fn6gose8p19352ez3ga7klt1.png)
So the total amount paid is 300+240 = 540.