2(2x+7) or 4x+14
Add 3x-x+2x to get 4x
Add 19-5 to get 14
Combine and simplify
You distribute the outside to the inside by multiplying
348 I believe.......
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Answer: 110 child tickets and 50 adult tickets were sold.
Step-by-step explanation:
Let x be the number of child tickets and y be the number of adult tickets.
then, According to the given information, we have
![7x+9y=1220------------(1)\\\\x=10+2y----------(2)](https://tex.z-dn.net/?f=7x%2B9y%3D1220------------%281%29%5C%5C%5C%5Cx%3D10%2B2y----------%282%29)
Substitute the value of x from (2) in (1), we get
![7((10+2y))+9y=1220\\\\\Rightarrow\ 70+14y+9y=1220\\\\\Rightarrow\ 23y=1220-70\\\\\Rightarrow\ 23y=1150\\\\\Rightarrow\ y=\dfrac{1150}{23}=50](https://tex.z-dn.net/?f=7%28%2810%2B2y%29%29%2B9y%3D1220%5C%5C%5C%5C%5CRightarrow%5C%2070%2B14y%2B9y%3D1220%5C%5C%5C%5C%5CRightarrow%5C%2023y%3D1220-70%5C%5C%5C%5C%5CRightarrow%5C%2023y%3D1150%5C%5C%5C%5C%5CRightarrow%5C%20y%3D%5Cdfrac%7B1150%7D%7B23%7D%3D50)
Now, put the value of y in (2), we get
![x=10+2(50)=110](https://tex.z-dn.net/?f=x%3D10%2B2%2850%29%3D110)
Hence, 110 child tickets and 50 adult tickets were sold.