Answer:
5 Adult tickets were purchased and 3 student tickets were purchased.
Step-by-step explanation:
5 Adult tickets were purchased and 3 student tickets were purchased.
Step-by-step explanation:
Write the problem as an equation like this
11x+7x=76
Now make an equation for the number of purchased tickets. Let x be adult and y be students.
x+y=8
Rewrite x + y = 8 as y = -x +8
Substitute y = -x + 8 into the first equation for y.
11x+7(-x+8)=76
11x+(-7x)+56=76
solve for 11x+(-7x)
4x+56+76
subtract 56 from both sides
4x=20
Divide both sides by 4
X=5
x + y = 8
5 + y = 8
y = 3
5 Adult tickets were purchased and 3 student tickets were purchased.
5 adult tickets and 3 student tickets were purchased.
What are system equations?
A finite set of simultaneous equations are called system equations.
Let, they purchased x tickets for adults and y tickets for students.
Therefore, system equations are:
x + y = 8 ----- equation 1
11x + 7y = 76----- equation 2
From equation 1, we get: x = (8 - y)
Now, substituting the value of x in equation 2, we get:
11 × (8 - y) + 7y = 76
⇒ 88 - 11y + 7y = 76
⇒ 88 - 76 = 4y
⇒ 4y = 12
⇒ y = 3.
Therefore, putting the value of y in equation 2, we get: x = (8 - 3) = 5.
Hence, 5 adult tickets and 3 student tickets were purchased.
Learn more about system equations here: https://brainly.com/question/24065247
#Tag #SPJ2
