Allison has more than 2 but less than 3 hours to spend on her homework. She has work in math, English, and social studies. She plans to spend equal amounts of time studying English and social studies, and to spend twice as much time studying math as she spends studying English.
1. What is the minimum number of minutes she can spend on English homework?
2. What is the maximum number of minutes she can spend on social studies?
3. What is the maximum number of minutes she can devote to math?
Answer (2)
Hours spent on: Maths = 2x English = x Social-studies = x
3 ≥ y ≥ 2 y = 2x+x+x y = 4x
3 ≥ 4x ≥ 2 3/4 ≥ x ≥ 1/2
3/4 hr = 45min 1/2 hr = 30min 2 × 45min = 90min
Answers: The minimum time she can spend on english homework is 30min. The maximum time she can spend on Social Studies is 3/4 hr (45min). The maximum time she can devote to Math is 90min.
Allison can spend a minimum of 30 minutes on English homework, a maximum of 45 minutes on social studies, and up to 90 minutes on math.
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