1. Do-Now 1. x = 25 5 6 ANSWER 30 2. (6x + 3) = 14 2 3 ANSWER 3
Solve the equation.
1. x = 25 5 6
ANSWER 30
2. (6x + 3) = 14 2 3
ANSWER 3
– 7 = 12 g 5
ANSWER 95
4. You buy three identical polyester film balloons and a
birthday card. The card costs $3.95. Find the cost of
balloon if your total bill before tax was $33.80.
ANSWER
$9.95

2. Lesson 3.5 Write a ratio = 7 5 14 10 14 14 + 10 = 24 12 VOLLEYBALL
A volleyball team plays 14 home matches and 10 away matches.
a. Find the ratio of home matches to away matches.
b. Find the ratio of home matches to all matches.
SOLUTION = 7 5 a.
home matches
away matches 14 10 b.
home matches
all matches 14 = 24 12

3. Lesson 3.5 Solve a proportion x 30 Solve the proportion 11 6 = . 11 6
Write original proportion. 11 6 x 30 =
Multiply each side by 30.
330 6 = x
Simplify.
55 = x
Divide.

4. EXAMPLE 2
GUIDED PRACTICE
For solving proportions.
Solve each proportion. Check your solution. 3 x = 2
– 6 4. 4 7 w 35 = 1. 4 m 5 =
m – 6 5. m 12 9 2 = 2. 5 9 z 54 = 3.

5. Solve a multi-step problem
Lesson 3.5
Solve a multi-step problem
ELEVATORS
The elevator that takes passengers from the lobby of the John Hancock Center in Chicago to the observation level travels 150 feet in 5 seconds. The observation level is located on the 94th floor, at 1029 feet above the ground. Find the time it takes the elevator to travel from the lobby to the observation level.

6. Solve a multi-step problem, cont’d.
Lesson 3.5
Solve a multi-step problem, cont’d.
SOLUTION
STEP 1
Write a proportion involving two ratios that compare the amount of time the elevator has ascended with the distance traveled. x
1029 = 5
Seconds
150
feet
STEP 2
Solve the proportion.

7. Solve a multi-step problem, cont’d.
Lesson 3.5
Solve a multi-step problem, cont’d. 5
150 x
1029 =
Write proportion. 5
150 =
1029 x
Multiply each side by 1029.
5145
150 = x
Simplify.
34.3 = x
Use a calculator.
ANSWER
The elevator travels from the lobby to the observation level in 34.3 seconds.

8. Lesson 3.5
Practice Word Problems
Seals
Each day, the seals at an aquarium are each fed 8 pounds of food for every 100 pounds of their body weight. A seal at the aquarium weighs 280 pounds.
How much food should the seal be fed per day ?