Question

Amelia buys fruit and pancakes for herselt and her family at a school breakfast. She buys 6 items in all. Each plece of fruit costs $ 1, each pancake costs $ 2, and she spends a total of $ 8. This system represents the situation, and has been graphed. f + p = 6 f + 2p = 8

Answer 1

We have the following system of equations:

`\begin{cases}f+p=6 \\ f+2p=8\end{cases}`

To solve:

1. Clear f from equation 1

2. Sustitute in equation 2

3. Solve for p

4. Use the value calculated to find f

As following:

`\begin{gathered} \begin{cases}f+p=6 \\ f+2p=8\end{cases} \\ \rightarrow f+p=6\rightarrow f=6-p \\ \\ f+2p=8 \\ \Rightarrow(6-p)+2p=8 \\ \rightarrow6-p+2p=8 \\ \rightarrow p=2 \\ \\ f=6-p \\ \Rightarrow f=6-2 \\ \rightarrow f=4 \end{gathered}`

This way, we can conclude that she bought 2 pancakes and 4 pieces of fruit

Answer: Option B