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Allison has more than 2 but less than 3 hours to spend on her homework.she has work in maths,english,and social-studies.she plans to spend equal amounts of time studying english and studying social studies,and to spend twice as much time studying math as in studying english.what is the minimum of minutes she can spend on english homework?what is the maximum number she can spend on social studies?What is the maximum number of minutes she can devote to math?
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.
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