Question

Bobby has a party while his parents are away for the weekend. Bobby estimated that if his 9 friends hep him to clean the house, they will finish in time if they start 8 hours before his parents return. But after only two hours of cleaning, Bobby's parents call and say they are just two hours from home. How many more friends does Bobby need to call to help finish cleaning in time.

Answer 1

The number of more friends that Bobby need to call to help finish cleaning in time is 20 friends.

Number of additional friends needed

Let x represent number of more friends

Number of hours=8×(9+1)

Number of hours=8×10

Number of hours=80 hours

Hence:

10×2+2(10+x)=80

20+20+2x=80

Collect like terms

2x=80-40

2x=40

Divide both side by 2x

x=40/2

x=20 friends

Therefore the number of more friends that Bobby need to call to help finish cleaning in time is 20 friends.

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