SOLUTION: Please help me with my homework. I am not quite sure on what approach or formula do i need to use for these problems. I am confused. Thanks for all that you do.. 1. Basketball t

Click here to see ALL problems on Linear Equations And Systems Word Problems

Question 346361: Please help me with my homework. I am not quite sure on what approach or formula do i need to use for these problems. I am confused. Thanks for all that you do..
1. Basketball teamlost 40% of its first 40 games. how many of its remaining 20 games must it win to raise its winning percentage to 65%?
2. The sum of 3 numbers is 94, if the first number is 3/5 of the second number and the second number is 4/3 of the third. What are the three numbers?
3. In one bag of chicken feeds, there are 24 chickens eating it in 45 days. In how many days do 15 chickens consume the feeds?

Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
1. Basketball team lost 40% of its first 40 games.
how many of its remaining 20 games must it win to raise its winning percentage to 65%?
:
Let x = no. of remaining games that need to be won for a winning percent of 65
:
Find how many game already lost: .4(40) 16 games lost
then 40 - 16 = 24 games won so far
:
Total games played 40 + 20 = 60
;
Games won/total games:
= .65
multiply both sides for 60
x + 24 = 60 * .65
x + 24 = 39
x = 39 - 24
x = 15 games of the remaining games need to be won
:
Check the percentage, 24 + 15 = 39 total games won
= .65 *100 = 65%
:
:
2. Write an equation for each statement;
The sum of 3 numbers is 94,
x + y + z = 94
:
the first number is 3/5 of the second number
x = y
:
the second number is 4/3 of the third.
y = z
We want z to be in terms of y also
Mult both sides by 3
4z = 3y
divide both sides by 4
z = y
:
Go back to the 1st equation: x + y + z = 94
Replace x and z
y + y + y = 94
Get rid of those annoying denominators, multiply each term by 20, results
4(3)y + 20y + 5(3)y = 20(94)
12y + 20y + 15y = 1880
47y = 1880
y =
y = 40
Find x
x = *40
x = 24
Find z
z = *40
z = 30
:
See if this is true: 24 + 40 + 30 = 94, so it's ok
:
What are the three numbers? 24, 40, 30
:
;
3. In one bag of chicken feeds, there are 24 chickens eating it in 45 days.
In how many days do 15 chickens consume the feeds?
:
Let's coin a term called "chicken-days"
It takes: 24 * 45 = 1080 chicken-days to consume 1 bag of feed
:
Let d = no. of days required by 15 chickens, a simple equation
15d = 1080
d =
d = 72 days for 15 chickens to consume a bag
:
:
I hope this has unconfused you. Could you follow the reasoning on these.
Any questions? let me know in the comment.