Question
Jonas is painting a mural at the local community center. He has completed two-fifths of the mural. If 200 feet of the mural are completed, how many feet are left to be painted?
Responses 800 feet 800 feet - no response given 300 feet 300 feet - no response given 200 feet 200 feet - no response given 500 feet
Responses 800 feet 800 feet - no response given 300 feet 300 feet - no response given 200 feet 200 feet - no response given 500 feet
Answers
GPT-4o mini
To find out how many feet of the mural are left to be painted, we can first determine the total length of the mural based on the information given.
Since Jonas has completed two-fifths of the mural and this amount is 200 feet, we can set up the following equation to solve for the total length of the mural (let's denote it as \( T \)):
\[
\frac{2}{5} T = 200
\]
To find \( T \), we can multiply both sides of the equation by \( \frac{5}{2} \):
\[
T = 200 \times \frac{5}{2}
\]
\[
T = 200 \times 2.5
\]
\[
T = 500 \text{ feet}
\]
Now that we know the total length of the mural is 500 feet, we can determine how much is left to be painted. Since Jonas has completed 200 feet, the remaining portion can be calculated as follows:
\[
\text{Remaining length} = T - \text{completed length} = 500 - 200 = 300 \text{ feet}
\]
Therefore, the number of feet left to be painted is **300 feet**.
Since Jonas has completed two-fifths of the mural and this amount is 200 feet, we can set up the following equation to solve for the total length of the mural (let's denote it as \( T \)):
\[
\frac{2}{5} T = 200
\]
To find \( T \), we can multiply both sides of the equation by \( \frac{5}{2} \):
\[
T = 200 \times \frac{5}{2}
\]
\[
T = 200 \times 2.5
\]
\[
T = 500 \text{ feet}
\]
Now that we know the total length of the mural is 500 feet, we can determine how much is left to be painted. Since Jonas has completed 200 feet, the remaining portion can be calculated as follows:
\[
\text{Remaining length} = T - \text{completed length} = 500 - 200 = 300 \text{ feet}
\]
Therefore, the number of feet left to be painted is **300 feet**.