Answer:
$15.2
Step-by-step explanation:
First, we need to calculate how many dollars are equivalent to R$63.20, so we will use the conversion rate as:
![R\text{ \$63.20}*\frac{\text{ \$ 1}}{R\text{ \$3.16}}=\text{ \$20}](https://img.qammunity.org/qa-images/2023/formulas/mathematics/college/8aupzvww36891wjohuba.png)
So, Sam spends $20 on his first day.
Then, the sum of $20 and the number of dollars x that he can spend for the remaining 5 days divided by 6 days should be equal to 16 U.S dollars. So, we can write the following equation:
![\text{Average}=\frac{\text{ \$20 + x + x + x + x + x}}{6\text{ days}}=\text{ \$16}](https://img.qammunity.org/qa-images/2023/formulas/mathematics/college/fst8lofsf2au1hypjhlk.png)
So, solving for x, we get:
![\begin{gathered} (20+5x)/(6)=16 \\ (20+5x)/(6)\cdot6=16\cdot6 \\ 20+5x=96 \\ 20+5x-20=96-20 \\ 5x=76 \\ (5x)/(5)=(76)/(5) \\ x=15.2 \end{gathered}](https://img.qammunity.org/qa-images/2023/formulas/mathematics/college/zzcj4184bucq1sono7j7.png)
Therefore, the average number of dollars that Sam can spend on food is $15.2