CPhill

Nice, LambLamb......!!!!!

There were m visitors in an exhibition on the first day and 1200 fewer visitors on the second day. On the third day, the number of visitors was 30% greater than the number of visitors on the second day. What was the average number of visitors over the three days?

1st day  =   m

2nd day  =  m - 1200

3rd day  =  the number the second day plus 30% more = [m - 1200] + .30[m - 1200]   =  (1.30)[m- 1200]

So....we add the attendance over 3 days and divide by 3   and we have

[m + ( m- 1200)  + (1.30)( m - 1200) ]  / 3         we could leave it like this, but let's simplify

[2m - 1200 +  1.30m - 1560]  / 3         combine like terms on the top

[3.3m - 2760] / 3          note that we can write this as :

[3.3m ] / 3   - 2760/3    =

1.1m  -  920

I see where you got confused......I made a slight error in my first post by keeping the "divided by 3"  part in at the last.....I'll edit that out right now.....!!!!!

Does that help???

The list price of  a camera was w dollars. Paul bought the camera for $35 less than the list price. If the sales tax was 8 %, how much did paul pay for the camera including the sales tax?

Notice that   8% tax  can be written as  .08

And if he gets the camera for 35 dollars less than list price he spends  (w - 35)  dollars.....and this is before the tax is added.....

So......he pays this price plus 8% of the price in tax......in math terms we have

Price          +          Tax                  =

(w - 35)(1)       +         (w - 35)(.08)       =         [factor out the (x - 35)]

(w - 35) [ 1  + .08]  =

(w - 35) (1.08)

Does that make sense???

Two buses with 45 riders each = 90........so we have

90 +  5c >=  120   subtract   90  from both sides

5c > = 30      divide both sides by 5

c > = 6        [ you will need at least 6 cars, maybe more, if the number of people exceed 120  ]

There were m visitors in an exhibition on the first day and 1200 fewer visitors on the second day. On the third day, the number of visitors was 30% greater than the number of visitors on the second day. What was the average number of visitors over the three days?

The average number is given by :

[m + (m - 1200) + (m - 1200)(1.30 ] / 3   =

[ 2m + 1.30m - 1200 - 1560] / 3   =

[3.3m - 2760] / 3  =

[1.1 m  - 920 ]

Edit  for a slight error.........

The list price of  a camera was w dollars. Paul bought the camera for $35 less than the list price. If the sales tax was 8 %, how much did paul pay for the camera including the sales tax?

The amount paid = A  = (w - 35)(1.08)

A group has an equal number of adults and children.  When n oranges are given to the group, each adult gets two oranges while each child gets one orange and there are still 5 oranges left. Write an algebraic expression for the number of oranges given to the adults.

The  number of oranges given to the adults  =  2x =   n - x  - 5        where x = the number of children = the number of adults

The cost 5 years from now will be

7(1.045)^5   =   about  $8.72

2cos(t)=sqrt(3)     divide both sides by 2

cos(t)  = sqt(3)/2     and this occurs at  pi/6 + n(2pi)   and at  (11/6)pi + n(2pi)     where  n is an  integer

Notice that using n(pi)  after the answers would not be correct.....for instance, if n =1

pi/6 + 1*pi =    7pi/6   .....but the cosine does not = sqrt(3)/2   at 7pi/6

Very nice, Melody !!!