Answer:
202 tickets for adults were sold and 70 tickets for children are sold.
Step-by-step explanation:
Solve this question using simultaneous linear equation.
•Let the number of tickets sold for adults be a
•Let the number of tickets sold for children be b
The question stated that 272 tickets were sold altogether. So:
[tex]a + b = 272[/tex]
Now, make sure that only one of the unknown values remain on the left hand side. For example:
[tex]a = 272 - b[/tex]
I will refer to the above equation as equation 1.
Now, the question also stated that the tickets sold $1694. This means that:
[tex]7a + 4b = 1694[/tex]
I will refer to this equation as equation 2.
Now, substitute equation 1 into equation 2 by replacing the a in equation 2 with the values on the right hand side in equation 1. For example:
[tex]7(272 - b) + 4b = 1694[/tex]
Then just solve the equation by finding the value of b.
[tex]7(272 - b) + 4b = 1694 \\ 1904 - 7b + 4b = 1694 \\ 1904 - 3b = 1694 \\ 1904 - 1694 = 3b \\ 210 = 3b \\ b = 210 \div 3 \\ = 70[/tex]
Lastly, find the value of a. Just take the value of b and then substitute into equation 1.
[tex]a = 272 - b \\ = 272 - 70 \\ a = 202[/tex]
