1. Today’s agenda:
Check Practice 6-4 handout
Lesson 6-5 and 6-6
Choose teams for tomorrow’s review
Get Wednesday’s homework
Missing signed grades:
Addison Hanson Jessica Bryan
Missing Ch 5 corrections:
Addison Bryan

2. Solving Percent Problems Using Proportions
LESSON 6-5
Problems of the Day
(For help, go to Lesson 5-4.)
1. Vocabulary Review A proportion is an equation stating
that two ? are equal.
Solve each proportion using cross products. = =
4. = n 32 1 4 6 n 2 5 7 8 n
100
Check Skills You’ll Need
6-5

3. Solving Percent Problems Using Proportions
LESSON 6-5
Problems of the Day
(For help, go to Lesson 5-4.)
1. Vocabulary Review A proportion is an equation stating
that two ratios are equal.
Solve each proportion using cross products. = =
4. = n 32 1 4 6 n 2 5 7 8 n
100
Check Skills You’ll Need
6-5

4. Solving Percent Problems Using Proportions
LESSON 6-5
Additional Examples
What percent of 150 is 45?
You can write a proportion to find the percent. = 45
150 n
100
Write a proportion.
Write the cross products.
150n = 45(100)
150n
150
Divide each side by 150.
45(100) =
n = 30
Simplify.
45 is 30% of 150.
Quick Check
6-5

5. Solving Percent Problems Using Proportions
LESSON 6-5
Additional Examples
35% of 90 is what number? = n 90 35
100
Write a proportion.
Write the cross products.
100n = 90(35)
100n
100
Divide each side by 100.
90(35) =
n = 31.5
Simplify.
35% of 90 is 31.5.
Quick Check
6-5

6. Solving Percent Problems Using Proportions
LESSON 6-5
Additional Examples
117 is 45% of what number?
The model shows the relationship. =
117 n 45
100
Write the proportion.
Write the cross products.
45n = 117(100)
Divide each side by 45.
45n 45
117(100) =
n = 260
Simplify.
117 is 45% of 260.
Quick Check
6-5

7. Solving Percent Problems Using Proportions
LESSON 6-5
Lesson Quiz
Use a proportion to solve.
1. What percent of 240 is 60? is what percent of 120?
3. 75% of what number is 66? is 96% of what number?
25%
75% 88 25
6-5

8. Solving Percent Problems Using Equations
LESSON 6-6
Check Skills You’ll Need
(For help, go to Lesson 4-4.)
1. Vocabulary Review State the Division Property of
Equality.
Solve each equation.
2. 3n = 51
= 12 x 4
Check Skills You’ll Need
6-6

9. Solving Percent Problems Using Equations
LESSON 6-6
Check Skills You’ll Need
Solutions
1. If both sides of an equation are divided by the same nonzero number,
the results are equal.
2. 3n = 51; n = = 17
= 12; x = 4(12) = 48 x 4 51 3
6-6

10. Solving Percent Problems Using Equations
LESSON 6-6
Additional Examples
Use an equation to solve: 18% of what number is 81?
Words 18% of a number is 81.
Let n = the number.
Equation
0.18 • n = 81
0.18n =
Divide each side by 0.18.
n = 450
Simplify.
Quick Check
6-6

11. Solving Percent Problems Using Equations
LESSON 6-6
Additional Examples
Use an equation to solve: 32% of 40 is what number?
Words A number is 32% of 40.
Let n = the number.
Equation
n = • 40
n = 0.32 • 40 = 12.8
Simplify.
Quick Check
6-6

12. Solving Percent Problems Using Equations
LESSON 6-6
Additional Examples
Use an equation to solve: What percent of 200 is 45?
Let p = the percent.
Words A percent of is 45.
p • = 45
Equation
p • 200 = 45
Simplify.
200p = 45
200p =
Divide each side by 200.
p = 0.225
Use a calculator.
p = 22.5%
Write the decimal as a percent.
Quick Check
6-6

13. Solving Percent Problems Using Equations
LESSON 6-6
Lesson Quiz
Write and solve an equation.
1. 6% of 38 is what number?
2. 40% of what number is 24?
3. What percent of 52 is 13?
4. 96% of what number is 240?
n = 6% • 38; 2.28
24 = 40% • n; 60
13 = n% • 52; 25%
240 = 96% • n; 250
6-6

14. Homework (due Wednesday, December 26)
Lesson 6-5, p. 297, #s 35 and 36
Lesson 6-6, pp , #s 7-20 all, 32
Note that for today’s homework, you can either use a proportion OR write an equation.
If you need more guidance, study pages