Radhika spent 4by7 part of her holidays completing her homework, 2by7 part for a holiday trip and the rest she spent with her grandparents. If she spent 4 days with her grandparents then what is the total duration of the holidays. with statement please
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Solution:
Let the total duration of the holidays be x.
- Time spent in homework is 4x/7 days.
- Time spent in trip is 2x/7 days.
- Rest time = x - (4x/7 + 2x/7) days
- = x - 6x/7 days
- = x/7 days.
By the given condition,
x/7 = 4, where 4 days spent with grandparents
or, x = 28
Answer: the total duration of the holidays is 28.
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