Question

4 boys and 6 girls can do work for 8 days similarly 3 boys and 7 girls can complete in 10 days if 8 girls do the same work how long it would take in days.

Answer 1

hi dear
the answer should be........
(4b+6g)8=(3b+7g)10
b:g=11:1
now total work=(4*11+6*1)8=400
required days to complete this work by 8 girls =400/8=50 days
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Answer 2

Answer: 8 girls can do work for 50 days.

Step-by-step explanation:

Since we have given that

Number of days 4 boys and 6 girls can do work = 8 days

Number of days 7 girls and 3 boys can do work = 10 days

According to question, our equation becomes,

$(4B+6G)\times 8=(3B+7G)\times 10\\\\32B+48G=30B+70G\\\\32B-30B=70G-48G\\\\2B=22G\\\\B=11G$

So, we can find the number of days 8 girls can do work.

$8G\times x=(44+6)G\times 8\\\\8G\times x=50G\times 8\\\\x=50$

Hence, 8 girls can do work for 50 days.