Solve the equation. 1. x = 25 5 6 ANSWER 30 2. (6x + 3) = 14 2 3

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Solve the equation. 1. x = 25 5 6 ANSWER 30 2. (6x + 3) = 14 2 3 ANSWER 3

Solve the equation. 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 each balloon if your total bill before tax was $33.80. ANSWER $9.95

Homework: Page 118 # 41-55 odd Page 124 # 33-33-43 odd

EXAMPLE 1 Write a ratio 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 14 + 10 = 24 7 12

EXAMPLE 1 Example 2 Derek and his brother decide to combine their CD collections. Derek has 44 CDs, and his brother has 52 CDs. Find the specified ratio. a. The number of Derek’s CDs to the number of his brother’s CDs. 11 13 ANSWER b. The number of Derek’s CDs to the number of CDs in the entire collection. 11 24 ANSWER

EXAMPLE 2 Example 3 Solve the proportion. Check your solution. b. 11 6 x 30 = 4 7 w 35 = a. 55 = x 20 ANSWER m 12 9 2 = c. 5 9 z 54 = d. 54 ANSWER 30 ANSWER

Example 4 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. ANSWER The elevator travels from the lobby to the observation level in 34.3 seconds.

Example 5 ASTRONOMY When two full moons appear in the same month. The second full moon is called a blue moon. On average, 2 blue moons occur every 5 years. Find the number of blue moons that are likely to occur in the next 25 years. ANSWER 10 blue moons

Solve the proportion. 6. It takes 30 tomatillos to make 8 ounces of enchilada sauce. How many tomatillos does it take to make 12 ounces of enchilada sauce? ANSWER 45 tomatillos

Example 7 Write and solve a proportion 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? Seals ANSWER A 280 pound seal should be fed 22.4 pounds of food per day.

EXAMPLE 4 Use the scale on a map GUIDED PRACTICE Model ships 8. The ship model kits sold at a hobby store have a scale of 1 ft : 600 ft. A completed model of the Queen Elizabeth II is 1.6 feet long. Estimate the actual length of the Queen Elizabeth II. ANSWER about 960 ft

EXAMPLE 2 Example 9 Solve the proportion. Check your solution. 3 x = 2 – 6 a. 4 m 5 = m – 6 b. 18 ANSWER 18 ANSWER

Daily Homework Quiz 1. A chocolate chip cookie recipe calls for cups of flour and cup of brown sugar. Find the ratio of brown sugar to flour. 3 4 1 2 ANSWER 1 3 Solve the proportion. 2. a 7 9 21 = ANSWER 3

Daily Homework Quiz Solve the proportion. 32 28 3. = m 14 16 ANSWER 4. A printer can print 12 color pages in 3 minutes. How many color pages can the printer print in 9 minutes? Write and solve a proportion to find the answer. ANSWER 12 3 = x 9 ; 36 color pages