Question

11) While visiting Brazil for 6 days, Sam has a budget to spend an average of 16 U.S. dollars per day on food. The conversion rate is 1 U.S. dollar ($) = 3.16 Brazilian real (R$). The first day of vacation, they spend R$63.20 on food. What is the average number of U.S. dollars ($) per day Sam can spend on food for the remaining 5 days of their vacation? *

Answer 1

$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}`

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}`

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}`

Therefore, the average number of dollars that Sam can spend on food is $15.2