Respuesta :
The total number of children who attended play is 10 and this can be determined by forming the linear equation in two variables.
Given :
- Tickets to a play are $12.00 for adults.
- Children receive a discount and only have to pay $8.00.
- 40 people attend the play and the play brought in $440.
The following steps can be used in order to determine the total number of children attending play:
Step 1 - Let the total number of adults attending play be 'x' and the total number of children attending play be 'y'.
Step 2 - The linear equation that represents the total number of people attending the play is:
x + y = 40
x = 40 - y --- (1)
Step 3 - The linear equation that represents the price of all the tickets is:
12x + 8y = 440 --- (2)
Step 4 - Now, substitute the value of 'x' in the above expression.
12(40 - y) + 8y = 440
Step 5 - Simplify the above expression.
480 - 12y + 8y = 440
40 = 4y
y = 10
For more information, refer to the link given below:
https://brainly.com/question/11897796
