Question
Diego had 12 meters of rope. After using some rope for an activity, he had \( 45 \% \) of rope left. How many meters of rope did Diego use?
Ask by Wang Rogers. in the United States
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Diego used 6.6 meters of rope.
Solution
Let's denote the amount of rope Diego used as \( x \) meters.
Given that Diego had 12 meters of rope initially and after using some rope, he had \( 45\% \) of the rope left, we can set up the following equation:
\[ 12 - x = 0.45 \times 12 \]
Now, we can solve for \( x \) to find out how many meters of rope Diego used.
Solve the equation by following steps:
- step0: Solve for \(x\):
\(12-x=0.45\times 12\)
- step1: Multiply the numbers:
\(12-x=5.4\)
- step2: Move the constant to the right side:
\(-x=5.4-12\)
- step3: Subtract the numbers:
\(-x=-6.6\)
- step4: Change the signs:
\(x=6.6\)
Diego used \( 6.6 \) meters of rope for the activity.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
Diego originally had 12 meters of rope. If he has \( 45\% \) left, that means he has \( 0.45 \times 12 = 5.4 \) meters of rope remaining. To find out how much rope he used, subtract the remaining rope from the original amount: \( 12 - 5.4 = 6.6 \) meters. So, Diego used 6.6 meters of rope. Using percentages can be trickier than it seems, especially when numbers are involved! It's a common mistake to forget to convert the percentage into a decimal before calculating; here, the decimal was crucial to determining how much rope was left. Always double-check to ensure you're working with the right figures!
