SOLUTION: It takes 5 boys or 8 girls complete a job in 26 days. How many days would it take 4 boys and 5 girls to complete the same job?
Algebra.Com
Question 221771: It takes 5 boys or 8 girls complete a job in 26 days. How many days would it take 4 boys and 5 girls to complete the same job?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
This problem is about the rates at which
boys and girls do a certain "job".
given:
The rate for 5 boys is 1 job/26 days.
Each boy can do 1/5 of a job in 26 days because
How long does it take a boy to do 1 job?
1 boy can do 1 job in 130 days
likewise,
The rate for 8 girls is 1 job/26 days
Each girl can do 1/8 job in 26 days
How long does it take a girl to do 1 job?
A girl can do 1 job in 208 days
I can add up the rates for 4 boys and 5 girls
to get their rate working together
Let = number of days for 4 boys and 5 girls
to complete job
Multiply both sides by
days
check answer
OK
check for 5 boys
check for 8 girls
OK
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