Algebra Puzzle – Challenge 31
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Challenge:
Sophia has a guitar lesson three times a week and Lukas has a Math lesson every other week. In a given term, Sophia has 40 more lessons than Lukas. How many weeks long is their term?
A- 8
B- 12
C- 16
D- 20
E- 24
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The correct answer is C.
Sophia has 6 lessons in two weeks and Lukas has one lesson in two weeks. Therefore, the difference is 5 lessons for two weeks or 2.5 lessons per week. The difference is 40 lessons. So, 40 ÷ 2.5 = 16
Their term is 16 weeks.
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