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Kong took 
15% fewer seconds than Nolan took to complete his multiplication timed test. Kong took 85 seconds.
How many seconds did Nolan take? seconds

Kong took 15% 15 \% fewer seconds than Nolan took to complete his multiplication timed test. Kong took 8585 seconds.\newlineHow many seconds did Nolan take? seconds

Full solution

Q. Kong took 15% 15 \% fewer seconds than Nolan took to complete his multiplication timed test. Kong took 8585 seconds.\newlineHow many seconds did Nolan take? seconds
  1. Understand Relationship: Understand the relationship between Kong's and Nolan's times.\newlineKong took 15%15\% fewer seconds than Nolan. This means that Kong's time is 85%85\% of Nolan's time because 100%15%=85%100\% - 15\% = 85\%. We can represent Nolan's time with the variable nn.
  2. Set Up Equation: Set up the equation to find Nolan's time.\newlineSince Kong's time is 85%85\% of Nolan's time, we can write the equation as:\newline0.85×n=850.85 \times n = 85 seconds
  3. Solve for nn: Solve for nn to find Nolan's time.\newlineTo find Nolan's time, we divide both sides of the equation by 0.850.85:\newlinen=850.85n = \frac{85}{0.85}
  4. Perform Division: Perform the division to calculate Nolan's time. \newlinen=850.85n = \frac{85}{0.85}\newlinen=100n = 100 seconds
  5. Verify Solution: Verify the solution.\newlineIf Nolan took 100100 seconds and Kong took 15%15\% fewer seconds, then Kong's time should be 85%85\% of Nolan's time.\newline0.85×100=850.85 \times 100 = 85 seconds\newlineSince this matches Kong's given time, our solution is correct.