For each of the problems below, do the following:
(a) Identify the unknown quantity (quantities)
(b) Define a variable (or variables) to represent the unknown
(c) Write an equation that describes the information given in the statement of the problem
(d) Solve the equation and answer the problem.
3. You have a 4 litre jug of 3.5% milk (milk that contains 3.5% fat). How much skim milk (0% fat) do you need to add to it to obtain milk which will have 2% fat?
4. 280 people joined the community band. Some intended to play a woodwind instrument, some a brass instrument, and the others percussion. If 2 times as many people were planning to play a woodwind instrument as a brass instrument, and if 80 fewer were going to play percussion than a brass instrument, how many people were planning to play each type of instrument?

(3) 3 liters   (4) Woodwind = 180, Brass = 90, Percussion = 10

Step-by-step explanation:

3) Set up a table. Multiply across and add down to create the equation.

                    x             = 3        ---> subtracted 4 from both sides

4)

Woodwind: 2x

Brass:            x

Percussion:   x - 80

      TOTAL:  4x - 80 = 280

                     4x         = 360      ----> added 80 to both sides

                       x         =  90       ---> divided 4 from both sides

Woodwind: 2x ---> 2(90) = 180

Brass:           x  --->     90

Percussion:  x - 80 ---> 90 - 80 = 10

answer: 180

step-by-step explanation:

12-2=10

20-2=18

10x18=180

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).