Answer:
112 adults
20 children
Step-by-step explanation:
In order to solve this problem, we must create system of equations. By definition, system of equations are two equations which help you find unknown variables.
As for this problem, we need to set two variables for each type of person.
Let x represent adults
Let y represent children
We can break the question apart, and form equations based on the information given.
"tickets for adults cost $3.25 while tickets for children cost $2.25 and total receipts for the concert was $364"
$3.25x + $2.25y = $364
Now, we must form our second equation based on the information given.
"If 132 people attend a concert" "how many of each went to the concert"
x + y = 132
Solve for x, or the total number of adults
x = -y + 132
3.25(-y + 132)+ 2.25y = $364
Distribute 3.25
3.25 * -y = -3.25y
3.25 * 132 = 429
-3.25y + 429 = $364
Subtract 429 from both sides
364 - 429 = -65
-3.25y = -65
Now divide both sides by -3.25 to find the value of y.
y = 20
Therefore, 20 children attended the concert.
In order to find the total amount of adults who attended, subtract 20 from the total number of people that attended.
132 - 20 = 112
So, 112 adults attended as well as 20 children.
