Question

question 3 1 pts a company that provides whale - watching tours takes groups of 21 people at a time. the companys revenue is 80 dollars per adult and 60 dollars per child. if the companys revenue for one group consisting of adults and children was 1,440 dollars, how many people in the group were children? 15 9 18 3 12

Explanation:

Step1: Define variables

Let \( x \) be the number of adults and \( y \) be the number of children. We know two equations: \( x + y = 21 \) (total people) and \( 80x + 60y = 1440 \) (total revenue).

Step2: Express x from first equation

From \( x + y = 21 \), we get \( x = 21 - y \).

Step3: Substitute into revenue equation

Substitute \( x = 21 - y \) into \( 80x + 60y = 1440 \):
\( 80(21 - y) + 60y = 1440 \)
\( 1680 - 80y + 60y = 1440 \)
\( 1680 - 20y = 1440 \)

Step4: Solve for y

Subtract 1680 from both sides: \( -20y = 1440 - 1680 = -240 \)
Divide by -20: \( y = \frac{-240}{-20} = 12 \).

Answer:

12