Let
x--------> the number of children
y------> the number of teenagers
z------> the number of adults
we know that
------> equation A
-----> equation B

-------> equation C
Substitute equation C in equation A and equation B
![2[(4)/(3)y]+3y+5z=1,950](https://img.qammunity.org/2018/formulas/mathematics/high-school/wy3hn9ipjaif7sjf29ox6go59cu657fl0b.png)
--------> equation D
![[(4)/(3)y]+y+z=570](https://img.qammunity.org/2018/formulas/mathematics/high-school/24a9t20su5abolm6x84nh33hgd2e4wcfc1.png)
--------> equation E
Multiply equation E by

--------> equation F
Adds equation D and equation F

therefore
the answer is the option
