Answer:
To find the percent of the total expenses spent on food, we need to calculate the ratio of the amount spent on food to the total expenses.
Percent of expenses spent on food = (Amount spent on food / Total expenses) * 100
Substituting the given values:
Percent of expenses spent on food = ($412 / $1648) * 100
Calculating this:
Percent of expenses spent on food = 0.25 * 100
Percent of expenses spent on food = 25%
So, 25% of her expenses were spent on food.
Now, to find the degrees of a circle this percent represents, we know that a circle is divided into 360 degrees.
Degrees of the circle = (Percent/100) * 360
Substituting the value:
Degrees of the circle = (25 / 100) * 360
Degrees of the circle = 0.25 * 360
Degrees of the circle = 90 degrees
Hence, the percentage of her expenses spent on food is 25%, and this represents 90 degrees of a circle.