Warm-Up(PART OF YOUR NOTES) 1. The length of a rectangle is 5 cm more than the three times the width. The perimeter of the rectangle is 54. Find all dimensions of the rectangle. 2. A store owner wants to mix cashews and almonds. Cashews cost 2 dollars per pound and almonds cost 5 dollars per pound. He plans to sell 150 pounds of a mixture. How many pounds of each type of nuts should be mixed if the mixture will cost 3 dollars?(hint- make a table) 3. Suppose Ken has 25 coins in nickels and dimes only and has a total of $1.65. How many of each coin does he have? 4. A passenger jet took three hours to fly 1800 miles with the wind pushing the plane forward. The return trip against the wind took four hours. What was the jet's speed in still air and the wind's speed ?(hint- make a table) Word Problems Again This Unit…Yes, I know, best unit EVER!! The length of a rectangle is 5 cm more than the three times the width. The perimeter of the rectangle is 54. Find all dimensions of the rectangle. L=5+3w 54=2l+2w 54=2(5+3w) +2w 54= 8w+10 W=11/2 So the length of the rectangle is 43/2 cm and the width is 11/2 cm. A store owner wants to mix cashews and almonds. Cashews cost 2 dollars per pound and almonds cost 5 dollars per pound. He plans to sell 150 pounds of a mixture. How many pounds of each type of nuts should be mixed if the mixture will cost 3 dollars? Cashews Almonds Mixture Amount x y 150 Price 2x 5y 150(3) Suppose Ken has 25 coins in nickels and dimes only and has a total of $1.65. How many of each coin does he have? 1st Equation: 2nd Equation: n + d =25 .05n+.1d= 1.65 And Another A passenger jet took three hours to fly 1800 miles with the wind pushing the plane forward. The return trip against the wind took four hours. What was the jet's speed in still air and the wind's speed? (speed)(time)=Distance with the jetstream: (p + w)(3) = 1800 against the jetstream: (p – w)(4) = 1800 p + w = 600 p – w = 450 Then, by adding down, 2p = 1050 so p = 525, and w must then be 75. The jet's speed was 525 mph and the windspeed was 75 mph. Homework Answers Please feel free to ask me questions concerning the Homework!! Remember: Tutorials ~ Monday And Wednesday 1st half of lunch Additional Meeting Times Upon Request Quiz Day and Work Problems A coffee merchant has two types of coffee beans, one selling for $3 per pound and the other for $5 per pound. The beans are to be mixed to provide 100 pounds of a mixture selling for $4.18 per pound. How much of each type of coffee bean should be used to form 100 pounds of the mixture? Calvin has $8.80 in pennies and nickels. If there are twice as many nickels as pennies, how many pennies does Calvin have? How many nickels? Yes, More Word Problems The cost of joining a secret corn muffin society is 50.00 dollars for joining and then 30 dollars a month. The cost of joining a secret pickle society is 60 dollars for joining and then 20 dollars a month. After how many months is the cost the same? In the long run, which society is cheaper? 50+30x=60+20x 1 month they will be the same! The muffin society will cost more since it is more every month. And More… Brenda's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3senior citizen tickets and 9 child tickets for a total of $75. The school took in $67 on the second day by selling 8 senior citizen tickets and 5 child tickets. What is the price each of one senior citizen ticket and one child ticket? 3s+9c=75 8s+5c=67 Senior tickets cost 4$ and child tickets cost 7$. Homework Information Packet Page 5 Unit 4 Quiz 2: Monday Come to Tutorial! Mondays AND Thursdays 1st half of Lunch!