Respuesta :
Answer: [tex]\$549.68[/tex]
Step-by-step explanation:
Let be "b" the amount of money (in dollars) that Betty will have to pay for the round-trip.
According to the information provided in the exercise, the total cost of the trip from Oklahoma City to Sturgis was $824.52.
So, it the cost of the trip back will be the same, the total cost of the round-trip will be:
[tex]Total\ cost=2(\$824.52)\\\\Total\ cost=\$1,649.04[/tex]
Since the exercise indicates that they plan to split that total cost for the round-trip in equal parts, you need to divide the Total cost of the round-trip by 3, in order to find "b".
Therefore, you get the following result:
[tex]b=\frac{Total\ cost}{3}\\\\b=\frac{\$1,649.04}{3}\\\\b=\$549.68[/tex]