John sold 18 general admission tickets and 11 VIP tickets.
Step-by-step explanation:
Given,
Cost of each general admission = $50
Cost of each VIP ticket = $55
Total tickets sold = 29
Total revenue generated = $1505
Let,
x represent the number of general admission tickets sold
y represent the number of VIP tickets.
x+y=29 Eqn 1
50x+55y=1505 Eqn 2
Multiplying Eqn 1 by 50
![50(x+y=29)\\50x+50y=1450\ \ \ Eqn\ 3](https://tex.z-dn.net/?f=50%28x%2By%3D29%29%5C%5C50x%2B50y%3D1450%5C%20%5C%20%5C%20Eqn%5C%203)
Subtracting Eqn 3 from Eqn 2
![(50x+55y)-(50x+50y)=1505-1450\\50x+55y-50x-50y=55\\5y=55](https://tex.z-dn.net/?f=%2850x%2B55y%29-%2850x%2B50y%29%3D1505-1450%5C%5C50x%2B55y-50x-50y%3D55%5C%5C5y%3D55)
Dividing both sides by 5
![\frac{5y}{5}=\frac{55}{5}\\y=11](https://tex.z-dn.net/?f=%5Cfrac%7B5y%7D%7B5%7D%3D%5Cfrac%7B55%7D%7B5%7D%5C%5Cy%3D11)
Putting y=11 in Eqn 1
![x+11=29\\x=19-11\\x=18](https://tex.z-dn.net/?f=x%2B11%3D29%5C%5Cx%3D19-11%5C%5Cx%3D18)
John sold 18 general admission tickets and 11 VIP tickets.
Keywords: linear equation, elimination method
Learn more about elimination method at:
#LearnwithBrainly
Answer:
H. 2 3/4
Step-by-step explanation:
- DATE >> WATER LEVEL CHANGE (inches)
- August 25 >> -0.75
- September 8 >> -1 3/ 8
- September 22 >> 2.5
- October 6 >> -1/2
- October 20 >> 1 7/8
<u>Total change:</u>
- 1 7/8 - (-0.75) =
- 1+ 7/8 + 3/4 =
- 1 + 7/8 + 6/8 =
- 1 + 13/8 =
- 1+ 1 5/8 =
- 2 5/8
The closest answer option is H. 2 3/4