Please Help with my math questions!?

Question

Hi, I need help with my math homework. I have done most of them, but there are three i cannot figure out. Please help me.

1) 0.39s + 4.30 = 13.66

For these two i only need the equation-
2) A team won eight games more than they lost, and there were no ties. If the team played 78 games, how many games did they loose?

3) On a bus tour, there are 100 passengers on three buses. Two of the buses each carry four fewer passengers than the third bus. How many passengers are on each bus?

Thanks allot!!!

Answer 1

1) s=24
2) 43win 35losses
3) bus1 31 bus2 31 bus3 39

Answer 2

0.39s + 4.30 = 13.66

to eliminate decimals multiply with 100

39 s + 430 = 1366

subtract 430

39s = 1366 - 430

= 936

divide by 39

s = 936/39

= 24

2)

let the lost games = x

gemes won = x + 8

total games = games lost + games won

= x + x + 8

= 2x + 8

so 2x + 8 = 78

2x = 78 - 8

2x = 70

2)

let the passengers in third bus = x

passengers in first bus = x - 4

passengers in second bus = x - 4

total passengers = x + x - 4 + x - 4

= 3x - 8

so 3x - 8 = 100

3x = 108

Answer 3

0.39s + 4.30 = 13.66
0.39s = 13.66 - 4.30 = 9.36
0.39s = 9.36
s = 9.36/0.39 = 24.0 the Answer !!!!

2.
Win(w) = Lost(l) + 8
w = l + 8
w + l = 78

therefore substituting 'w' we have
l + 8 + l = 78
2l + 8 = 78
2l = 78 - 8 = 70
2l = 70
l = 70/2 = 35

3.
'B'' b' for greater / lesser number of passengers.

B + 2b = 100

But B = b + 4
So
b + 4 + 2b = 100
3b + 4 = 100
3b = 96
b = 32 (the bus with 4 fewer passengers)
B = 36 (the bus with four more than 'b')
Verification:-

36 + 32 + 32 = 100 As required.
3B = 100 - 8
3B = 92
B

Answer 4

1. 0.39s+4.30=13.66
-4.30 -4.30

0.39s=9.36

divide by .39 on both sides

s=24

2. let x= number of games they lost
let x+8=number of games they won

x+x+8=78

3. let x=how much each of the first TWO buses can carry
let x+4= how much the third bus can carry

x+x+x+4=100

Answer 5

1) 0.39s + 4.30 = 13.66
0.39s =.36
s=24
2) w= wins l =losses
w=l+8
w+l=78
3) 2b-4 +b =100

Answer 6

1) s=8.03