Question
Samuel's family took a road trip to Mount Rushmore. Samuel fell asleep after they had travelled 990 miles. If the total length of the trip was 1000 miles, what percentage of the total trip had they travelled when Samuel fell asleep?
Answers
GPT-4o mini
To find the percentage of the total trip that Samuel's family had travelled when he fell asleep, we can use the formula for percentage:
\[
\text{Percentage} = \left( \frac{\text{Distance travelled}}{\text{Total distance}} \right) \times 100
\]
In this case, the distance travelled is 990 miles and the total distance of the trip is 1000 miles.
Substituting these values into the formula:
\[
\text{Percentage} = \left( \frac{990}{1000} \right) \times 100
\]
Calculating the fraction:
\[
\frac{990}{1000} = 0.99
\]
Now, multiplying by 100 to convert it into a percentage:
\[
0.99 \times 100 = 99
\]
Thus, the percentage of the total trip that Samuel's family had travelled when he fell asleep is
\[
\boxed{99\%}
\]
\[
\text{Percentage} = \left( \frac{\text{Distance travelled}}{\text{Total distance}} \right) \times 100
\]
In this case, the distance travelled is 990 miles and the total distance of the trip is 1000 miles.
Substituting these values into the formula:
\[
\text{Percentage} = \left( \frac{990}{1000} \right) \times 100
\]
Calculating the fraction:
\[
\frac{990}{1000} = 0.99
\]
Now, multiplying by 100 to convert it into a percentage:
\[
0.99 \times 100 = 99
\]
Thus, the percentage of the total trip that Samuel's family had travelled when he fell asleep is
\[
\boxed{99\%}
\]