2 a company sold a total of 150 adult and child tickets to a fundraiser. the company charged $10 for each…

2 a company sold a total of 150 adult and child tickets to a fundraiser. the company charged $10 for each adult ticket and $6 for each child ticket. which equation represents the relationship between the number of adult tickets sold, x, and the total amount, y, in dollars, raised from the sale of the tickets? a 6x + 10y = 150 b 10x + 6y = 150 c y = 6x + 10(150 - x) d y = 10x + 6(150 - x)
Answer
Explanation:
Step1: Find number of child tickets
Total tickets are 150 and adult tickets are $x$. So number of child tickets is $150 - x$.
Step2: Calculate total amount
Adult tickets cost $10$ each and child tickets cost $6$ each. Total amount $y$ is the sum of money from adult - ticket sales and child - ticket sales. Money from adult - ticket sales is $10x$ and from child - ticket sales is $6(150 - x)$. So $y=10x + 6(150 - x)$.
Answer:
D. $y = 10x+6(150 - x)$