i need someone to explain to me how to do some Gr.9 math questions?
#1
A swimming pool is filled by 3 different pipes. the first fills the pool in 21 hours, the second fills it in 18 hours and the third fills it in 24 hours, if all three pipes are turned on, about how long will it take to fill the pool?
#2
Thirty dollors is to be spilt among 8 people. Each person get at least $1; at least one person gets more than $5; at least four other people get more than $1. If all 8 people get an exact number of dollars, what is the largest amoint (in dollars) that could be received by a person?
i dont get it at all
so i need help
thank you anyways if you dont know or dont wanna do it
and thank you very much for those who will do it
Favorite Answer
1) let x = time it would take to fill up the the pool
2) x/21 + x/18 + x/24 = 1
3) x/21 + x/18 + x/25 = 1/1
4) 9450x/21 + 9450x/18 + 9450x/25 = 9450
5) 450x + 525x + 378x = 9450
6) 1353x = 9450
7) x = 9450/1353
8) x = 6.9 which means 6 hours and 54 minutes (or rounded, 7 hours)
Sorry I couldn’t do number 2. I’ll try working on it.
you first need to find out at what rate each one fills at. for example… i don’t know how much water you need but i based it on 10,000 gallons… so
18hrs=10,000 gallons (10,000/18=555.5 gallons/hr)
21hrs=10,000 gallons (10,000/21=476.2 gallons/hr)
24hrs=10,000 gallons (10,000/24=416.6 gallons/hr)
add all together
555.5
+
476.2
+
416.6 = 1448.3 gallons / hr
now
divide 1448.3 gallons/ hr by 10,000 gallons
for a final time of 6.9 hrs
2) ok, the answer is impossible. if one person needs at least $5, and the amounts need to be equal, then 5*8=40, not 30. ( i did guess and check)
your welcome!
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