Answer:
9 child tickets and 17 adult tickets were sold.
Step-by-step explanation:
Let the number of adult tickets sold be ![a](https://tex.z-dn.net/?f=a)
and the number of child tickets be
.
The theater sold a total number of 26 tickets.
This means that:
.....eqn1
The theater made a total sale od $194.
This implies that:
...eqn2
We make
the subject in equation 1:
...eqn3
Substitute equation (3) into equation (2)
![8.5(26-c)+5.5c=194](https://tex.z-dn.net/?f=8.5%2826-c%29%2B5.5c%3D194)
Expand to get: ![221-8.5c+5.5c=194](https://tex.z-dn.net/?f=221-8.5c%2B5.5c%3D194)
![-8.5c+5.5c=194-221](https://tex.z-dn.net/?f=-8.5c%2B5.5c%3D194-221)
![-8.5c+5.5c=194-221](https://tex.z-dn.net/?f=-8.5c%2B5.5c%3D194-221)
![-3c=-27](https://tex.z-dn.net/?f=-3c%3D-27)
![\implies c=9](https://tex.z-dn.net/?f=%5Cimplies%20c%3D9)
Put c=9 into equation (3) to get:![a=26-9=17](https://tex.z-dn.net/?f=a%3D26-9%3D17)
Therefore 9 child tickets and 17 adult tickets were sold.
<em>The regular price was $110</em>
- <em>Step-by-step explanation:</em>
<em>Hi there ! </em>
<em />
<em>60% .......... $66</em>
<em>100% ..........$ x</em>
<em>x = 100×66/60</em>
<em>= 6600/60</em>
<em>= $ 110</em>
<em />
<em>Good luck !</em>
Answer: The area of the triangle is 25 units^2.
Step-by-step explanation: The formula to find the area of the triangle is (base * height)/2. In this case, the base is 10 units long (on the x axis, it's the overall horizontal length of the triangle) and the height is 5 units long (the height can be calculated by finding the y axis length from the highest point of the triangle to the lowest). So (10*5)/2 = 50/2 which equals 25. And keep in mind, because this is the area, the unit will be units squared.