Question

Hello i need help with my homework please and thank you!

Answer 1

At first, let the FCI of soccer is s and the FCI of the arena is a

Since the total FCI of them is $109.59

Then add s and a, equate the sum by 109.59

`s+a=109.59\rightarrow(1)`

Since the FCI of the arena is more than the FCI of soccer by $9.41, then

Equate a by s plus 9.41

`a=s+9.41\rightarrow(2)`

Substitute a in equation (1) by equation (2)

`\begin{gathered} s+s+9.41=109.59 \\ 2s+9.41=109.59 \end{gathered}`

Subtract 9.41 from both sides

`\begin{gathered} 2s+9.41-9.41=109.59-9.41 \\ 2s=100.18 \end{gathered}`

Divide both sides by 2

`\begin{gathered} (2s)/(2)=(100.18)/(2) \\ s=50.09 \end{gathered}`

Substitute the value of s in equation (2) to find a

`\begin{gathered} a=50.09+9.41 \\ a=59.5 \end{gathered}`

The answers are

FCI of soccer is $50.09

FCI of arena is $59.5