Question

Solve this system-4(A+C = 200)MULTIPLE CHOICE QUESTION8A + 4C = 1304-4A + -4C= -800How many children's tickets were sold?8A + 4C = 130411784A = 50412644A = 12620074RewatchSubmit

Answer 1

We have a system of equations:

$\begin{gathered} A+C=200 \\ 8A+4C=1304 \end{gathered}$

We can solve this by substitution, using the first equation:

$C=200-A$

Then, we replace this in the second equation:

$\begin{gathered} 8A+4(200-A)=1304 \\ 8A+800-4A=1304 \\ 4A=1304-800 \\ 4A=504 \\ A=\frac{504}{4}=126 \end{gathered}$

Now we can calculate C as:

$C=200-A=200-126=74$

Answer:

Adult tickets (A) = 126

Children tickets (C) = 74