Question

Tickets to the movies are $7 for adults and $4 for children. If 272 tickets

Answer 1

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:

$a + b = 272$

Now, make sure that only one of the unknown values remain on the left hand side. For example:

$a = 272 - b$

I will refer to the above equation as equation 1.

Now, the question also stated that the tickets sold $1694. This means that:

$7a + 4b = 1694$

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:

$7(272 - b) + 4b = 1694$

Then just solve the equation by finding the value of b.

$7(272 - b) + 4b = 1694 \\ 1904 - 7b + 4b = 1694 \\ 1904 - 3b = 1694 \\ 1904 - 1694 = 3b \\ 210 = 3b \\ b = 210 \div 3 \\ = 70$

Lastly, find the value of a. Just take the value of b and then substitute into equation 1.

$a = 272 - b \\ = 272 - 70 \\ a = 202$