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Audrey can use her laptop in energy-saving battery mode for seven hours. In regular battery mode, her laptop can be used for five hours. Audrey used her laptop for three hours in energy-saving battery mode. How many more hours can she use it in regular battery mode?
(A) 2 and 1//7 hours
(B) 2 and 4//5 hours
(C) 2 and 6//7 hours
(D) 4 and 1//5 hours

Audrey can use her laptop in energy-saving battery mode for seven hours. In regular battery mode, her laptop can be used for five hours. Audrey used her laptop for three hours in energy-saving battery mode. How many more hours can she use it in regular battery mode?\newline(A) 22 and 1/7 1 / 7 hours\newline(B) 22 and 4/5 4 / 5 hours\newline(C) 22 and 6/7 6 / 7 hours\newline(D) 44 and 1/5 1 / 5 hours

Full solution

Q. Audrey can use her laptop in energy-saving battery mode for seven hours. In regular battery mode, her laptop can be used for five hours. Audrey used her laptop for three hours in energy-saving battery mode. How many more hours can she use it in regular battery mode?\newline(A) 22 and 1/7 1 / 7 hours\newline(B) 22 and 4/5 4 / 5 hours\newline(C) 22 and 6/7 6 / 7 hours\newline(D) 44 and 1/5 1 / 5 hours
  1. Calculate remaining hours: Determine the remaining hours Audrey can use her laptop in energy-saving mode.\newlineReasoning: Audrey has used her laptop for 33 hours in energy-saving mode, which lasts for 77 hours.\newlineCalculation: 77 hours (total energy-saving mode) - 33 hours (used) = 44 hours remaining in energy-saving mode.\newlineMath error check:
  2. Convert to regular mode: Convert the remaining energy-saving mode hours to regular mode hours.\newlineReasoning: Since the laptop lasts 77 hours in energy-saving mode and 55 hours in regular mode, we need to find out how many regular mode hours are equivalent to the remaining 44 energy-saving mode hours.\newlineCalculation: (4 hours/7 hours)×5 hours=207 hours=2(4 \text{ hours} / 7 \text{ hours}) \times 5 \text{ hours} = \frac{20}{7} \text{ hours} = 2 and 67\frac{6}{7} hours.\newlineMath error check:
  3. Total hours in regular mode: Determine the total hours Audrey can use her laptop in regular mode.\newlineReasoning: Audrey has not used her laptop in regular mode yet, so she has the full 55 hours available.\newlineCalculation: 55 hours (total regular mode) + 22 and 67\frac{6}{7} hours (converted from energy-saving mode) = 5+2+67=7+675 + 2 + \frac{6}{7} = 7 + \frac{6}{7} hours.\newlineMath error check:

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