What is a equivalent fraction for The ratio of rainy days to sunny days is 5/7? (ratio)
2 answers:
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Answer:
Number of days taken by 1 man alone and 1 boy alone are 35 days and 70 days respectively.
Step-by-step explanation:
Let, the work completed by 1 man in 1 day = x and the work completed by 1 boy in 1 day = y.
So, 4 men and 6 boy's 1 day work is and
And, 3 men and 4 boy's 1 day work is and
Since, 4 men and 6 boys complete the work in 5 days and 3 men and 4 boys complete the work in 7 days.
So, we have,
Let, and
So, the equations are,
................(1)
................(2)
Multiply (1) by 3 and (2) by 4 and subtract the equations, we get,
i.e.
i.e.
i.e. y = 70.
Substitute value of 'v' in (1) gives,
i.e.
i.e.
i.e.
i.e.
i.e.
i.e. x = 35
So, the number of days taken by 1 men alone and 1 boy alone are 35 days and 70 days respectively.