3. What is 70% of
𝟏
𝟐
?2. What percent of 28 is
𝟐
𝟕
?
1. Order from least to greatest: 2/8, 2.8%,
8/2, .28
4a. How do you write the product of Four
Hundred increased bySeven Percent?400 + .7 400 • 0.07
400 • .7 400 •1.7 400 •1.07
4b. Wait before answering,
pls....
Using mental math, what is
the product of 400 increased
by 7%
Solving Percent Problems
These four types of problems share two formulas,
and are colosely related to each other
A. Original price or number is increased by a given percent.
B. Original price or number is decreased by a certain percent.
C. Finding original price after increase (mark-up).
D. Finding original price after decrease (discount).
To find the correct formula, ask yourself two
questions:
1, Is the original price known?
If yes, then A or B. If no, then C or D
2. Did the price go up or down from the
original?
This will separate A from B & C from D
The actual increase = 11.7 – 7.8 = 3.9 lb.
The percentage increase =
3.9
7.8
= 50%
What is the baby’s percentage increase in weight?
A baby weighs 7.8 lb. at birth. After 6 weeks
the baby’s weight has increased to 11.7 lb.
Percent Increase & Decrease
Petra deposited $250 into a bank account. After one year, she
received $30 in interest and now had $280 in the account.
What percent interest did she receive from the bank?
Solving Percent Problems
28
70
amount of increase
original amount
When Jim was exercising, his heart rate went from 70 beats per
minute to 98 beats per minute. What was the percent increase?
First find the amount of change.
What was the original price of the jeans?
I bought some jeans on sale. They were
15% off and I only paid $25.50 for them.
Solving Percent Problems
The actual decrease = 25 –17 = $8
The percentage decrease =
8
25
= 32%
By what percent were they reduced?
Solving Percent Problems
The entrance fee at an amusement park is $35. People
over the age of 65 receive a 20% discount. A) What is
the amount of the discount? B) How much do people
over 65 pay?A discount is a percent decrease. The original price is
known, so we will multiply. The formula for a known
price that has decreased, is… multiply by the
compliment of the discount.
B) How much do people over 65
pay?
A) What is the amount of the
discount?
$7.00
$28.00
Solving Percent Problems
The wholesale cost of a DVD is $7. The markup is
85%. What is the amount of the markup? What is the
selling price?
Method 1
A markup is a percent increase. So find $7 increased by 85%.
0.85(7) = 5.95
7 + 5.95 = 12.95
Find 85% of 7. This is the amount of the
markup.
Add to 7. This is the selling price.
Subtract from 12.95. This is the
amount of the markup.
12.95 ÷ 7 = 5.95
The amount of the markup is
$5.95. The selling price is
$12.95.
The selling price is 185% of the
wholesale price, $7.00.
100% + 85% = 185%
Find 185% of 7. This is the selling price.1.85(7) = 12.95
Solving Percent Problems
Original Price: Price after increase
1 + percent of
A pair of pants retails for $12.00. This is 50% above the
wholesale cost. What is the wholesale cost?
$12.00
.5
= $8.00
The formula to find the original price of an item that
has been marked up is….
What type of problem is this?
Solving Percent Problems
Blah blah blah discounted 30%. Blah blah now $42.00. Blah
Blah blah, find original price.
$42.00
.7
= $60.00
discounted price
Compliment of discount percent
The formula to find the original price of
an item that has been marked down is….
Type of problem?
Last Practice Problem
Test # 2
>Tomorrow
14"
1. Find the length of side G
2. Find the perimeters of both triangels A & X
The ratio of games lost to games won for a baseball team
is 3:5. The team has won 32 games. How many games did
the team lose?
January 27, 2016
January 27, 2016
January 27, 2016

January 27, 2016

  • 3.
    3. What is70% of 𝟏 𝟐 ?2. What percent of 28 is 𝟐 𝟕 ? 1. Order from least to greatest: 2/8, 2.8%, 8/2, .28 4a. How do you write the product of Four Hundred increased bySeven Percent?400 + .7 400 • 0.07 400 • .7 400 •1.7 400 •1.07 4b. Wait before answering, pls.... Using mental math, what is the product of 400 increased by 7% Solving Percent Problems
  • 5.
    These four typesof problems share two formulas, and are colosely related to each other A. Original price or number is increased by a given percent. B. Original price or number is decreased by a certain percent. C. Finding original price after increase (mark-up). D. Finding original price after decrease (discount).
  • 6.
    To find thecorrect formula, ask yourself two questions: 1, Is the original price known? If yes, then A or B. If no, then C or D 2. Did the price go up or down from the original? This will separate A from B & C from D
  • 7.
    The actual increase= 11.7 – 7.8 = 3.9 lb. The percentage increase = 3.9 7.8 = 50% What is the baby’s percentage increase in weight? A baby weighs 7.8 lb. at birth. After 6 weeks the baby’s weight has increased to 11.7 lb. Percent Increase & Decrease
  • 8.
    Petra deposited $250into a bank account. After one year, she received $30 in interest and now had $280 in the account. What percent interest did she receive from the bank? Solving Percent Problems 28 70 amount of increase original amount When Jim was exercising, his heart rate went from 70 beats per minute to 98 beats per minute. What was the percent increase? First find the amount of change.
  • 9.
    What was theoriginal price of the jeans? I bought some jeans on sale. They were 15% off and I only paid $25.50 for them. Solving Percent Problems
  • 10.
    The actual decrease= 25 –17 = $8 The percentage decrease = 8 25 = 32% By what percent were they reduced? Solving Percent Problems
  • 11.
    The entrance feeat an amusement park is $35. People over the age of 65 receive a 20% discount. A) What is the amount of the discount? B) How much do people over 65 pay?A discount is a percent decrease. The original price is known, so we will multiply. The formula for a known price that has decreased, is… multiply by the compliment of the discount. B) How much do people over 65 pay? A) What is the amount of the discount? $7.00 $28.00 Solving Percent Problems
  • 12.
    The wholesale costof a DVD is $7. The markup is 85%. What is the amount of the markup? What is the selling price? Method 1 A markup is a percent increase. So find $7 increased by 85%. 0.85(7) = 5.95 7 + 5.95 = 12.95 Find 85% of 7. This is the amount of the markup. Add to 7. This is the selling price. Subtract from 12.95. This is the amount of the markup. 12.95 ÷ 7 = 5.95 The amount of the markup is $5.95. The selling price is $12.95. The selling price is 185% of the wholesale price, $7.00. 100% + 85% = 185% Find 185% of 7. This is the selling price.1.85(7) = 12.95 Solving Percent Problems
  • 13.
    Original Price: Priceafter increase 1 + percent of A pair of pants retails for $12.00. This is 50% above the wholesale cost. What is the wholesale cost? $12.00 .5 = $8.00 The formula to find the original price of an item that has been marked up is…. What type of problem is this? Solving Percent Problems
  • 14.
    Blah blah blahdiscounted 30%. Blah blah now $42.00. Blah Blah blah, find original price. $42.00 .7 = $60.00 discounted price Compliment of discount percent The formula to find the original price of an item that has been marked down is…. Type of problem? Last Practice Problem
  • 16.
  • 17.
    14" 1. Find thelength of side G 2. Find the perimeters of both triangels A & X
  • 18.
    The ratio ofgames lost to games won for a baseball team is 3:5. The team has won 32 games. How many games did the team lose?