Application of Percents - Portion Formula
Portion (P) = Base (B) x Rate (R)
Portion “is”
Base: 100% - whole. Usually given after
the word of – but not always
Rate: Usually expressed as a percent but
could also be a decimal or fraction.
Portion: A number – not a percent and
not the whole
1-1
Base “of”
Rate “%”
Solving for Portion
Sales of McDonalds drive-thru customers are 60% of
total sales. Total sales are $1,600,000. What are the
drive-thru sales?
Portion = Base x Rate
P = $1,600,000 x .60
P = $960,000
1-2
Solving for Rate
Sales of McDonalds drive-thru customers are
$960,000. Total sales are $1,600,000. What Percent
of customers eat in the restaurant?
Rate = Portion
Base
R = $640, 000
$1,600,000
R = 40%
1-3
$1,600,000
- 960,000
Solving for Base
Sales of McDonalds drive-thru customers are 60% of
total sales. Sales of eat-in customers are $640,000.
What are total sales?
Base = Portion
Rate
Percent of
customers that
eat-in
1-4
B = $640,000
.40
B = $1,600,000
eat in sales
Rate of Percent Decrease
Original
New
Rate = Portion
Base
Rate = 12
15
.80 or 80%
Decrease
15 oz.
3 oz.
Percent of
Decrease (R)
1-5
Amount of
Decrease (P)
Original
Weight (B)
Rate of Percent Increase
Original
New
Rate = Portion
Base
Rate = $1,500
$1,000
1.5 or 150%
Increase
$1,000
$2,500
Percent of
Increase (R)
1-6
Amount of
Increase (P)
Original
sales (B)
Solving Word Problems for Unknowns
1) Read the entire
Problem
3) Let a variable
represent the unknown
Y = Computers
5) Check your results
1-7
2) Ask: “What is the
problem looking for
4) Visualize the
relationship between the
unknowns and variables.
Then set up equation
4Y + Y = 600
Solving Word Problems for the Unknown
Unknown(s)
1-8
Variable(s)
Relationship
Solving Word Problems for the Unknown
Barbie and Ken sell cars at the Auto World. In April they sold 15 cars.
Barbie sold twice as many cars as Ken. How many cars did each sell?
Unknown(s)
Cars Sold
Barbie
Ken
2C + C = 15
3C = 15
C=5
1-9
Variable(s)
2C
C
Relationship
2C
+C
15
Barbie - 10 Cars
Ken 5 Cars
Solving and Graphing Inequalities
** If you multiply or divide
by a negative number,
switch the direction of
the inequality.
1-10
Solving and Graphing Inequalities
5x  2  7
2 2
 5x  5
5x 5

5 5
x 1
1-11
Solving and Graphing Inequalities
5x  2  7
2 2
 5x  5
5x 5

5 5
x 1
1-12
Solving and Graphing Inequalities
5x  2  7
2 2
 5x  5
5x 5

5 5
x 1
1-13
Solving and Graphing Inequalities
5x  2  7
2 2
 5x  5
5x 5

5 5
x 1
1-14
Solving and Graphing Inequalities
5x  2  7
2 2
 5x  5
5x 5

5 5
x 1
1-15
Solving and Graphing Inequalities
5x  2  7
2 2
 5x  5
5x 5

5 5
x 1
0
1-16
1
Solving and Graphing Inequalities
5x  2  7
2 2
 5x  5
5x 5

5 5
x 1
0
1-17
1
Solving and Graphing Inequalities
5x  2  7
2 2
 5x  5
5x 5

5 5
x 1
0
1-18
1
Solving and Graphing Inequalities
** If you multiply or divide
by a negative number,
switch the direction of
the inequality.
1-19
Solving and Graphing Inequalities
3 x  4  6 x  3
 3x  12  6x 18
6x
6x
3x 12  18
12 12
3x  6
1-20
3x 6

3
3
x  2
Solving and Graphing Inequalities
3 x  4  6 x  3
 3x  12  6x 18
6x
6x
3x 12  18
12 12
3x  6
1-21
3x 6

3
3
x  2
Solving and Graphing Inequalities
3 x  4  6 x  3
 3x  12  6x 18
6x
6x
3x 12  18
12 12
3x  6
1-22
3x 6

3
3
x  2
Solving and Graphing Inequalities
3 x  4  6 x  3
 3x  12  6x 18
6x
6x
3x 12  18
12 12
3x  6
1-23
3x 6

3
3
x  2
Solving and Graphing Inequalities
3 x  4  6 x  3
 3x  12  6x 18
6x
6x
3x 12  18
12 12
3x  6
1-24
3x 6

3
3
x  2
Solving and Graphing Inequalities
3 x  4  6 x  3
 3x  12  6x 18
6x
6x
3x 12  18
12 12
3x  6
1-25
3x 6

3
3
x  2
Solving and Graphing Inequalities
3 x  4  6 x  3
 3x  12  6x 18
6x
6x
3x 12  18
12 12
3x  6
1-26
3x 6

3
3
x  2
Solving and Graphing Inequalities
3 x  4  6 x  3
 3x  12  6x 18
6x
6x
3x 12  18
12 12
3x  6
1-27
3x 6

3
3
x  2
Solving and Graphing Inequalities
x  2
-2
1-28
0
Solving and Graphing Inequalities
x  2
-2
1-29
0
Solving and Graphing Inequalities
x  2
-2
1-30
0