1. Two numbers add to 251 and the second is 41 bigger than four times the first. What are the two numbers? Smaller Bigger 2. Three types of bears are in a national park. The number of grizzly bears is 4 more than twice the number of black bears, and the number of panda bears is 50 more than the number of black bears. There are a total of 874 bears in the park. How many of each kind are there? Black Grizzly |Panda 3. If a rectangle's length is 5 more than 3 times the width and the perimeter is 58 mm what are the dimensions of the rectangle? Width Length 4. Jacob has a total of 64 quarters and dimes that have a combined value of $13.45. How many quarters and dimes are there? Quarters Dimes Jennifer has a bucket of coins made up of nickels, dimes, and quarters. There are a total of 64 coins. The number of nickels minus the number of quarters equals the numbers of dimes plus 2. There is a total value of $8.35. How many of each coin are there? Nickels Dimes Quarters 0 6. Two types of tickets were sold for a play: Balcony and Mezzanine. There was a total of 530 tickets sold. Balcony tickets cost $25 and Mezzanine cost $35. The total revenue was $15,530? How many of each type of ticket were sold? Balcony Mezzanine 7. A high school sold out their 600-seat auditorium for their play. The prices for children were $2, students $3, and adults $7 for a total revenue of $2765. Next year they plan to raise the prices to $2.50 per child, $3.50 per student, and $8 per adult. If they sell the same number of each type of ticket, then the revenue will be $3201. How many of each type of ticket did they sell? Child Student Adult 8. A motorboat took 1.5 hours to make a 12-mile trip up the river but only an hour to come back down. What is the speed of the boat and the speed of the river current? River Boat 9. A plane took 4 hours to complete a 1800 mile trip while flying into the wind. Coming back, it only took 3 hours. What was the speed (in miles per hour) of the plane and the wind? Plane Wind 10. Almonds sell for $4.50/lb., cashews for $3.75/lb.,| and peanuts for $2.25/lb. What should the final price per pound be for a mixture that is 20% almonds, 30% cashews, and 50% peanuts? 11. The grade of a course is made up from 30% quizzes, 20% homework, and 50% tests. What is the final grade of someone that averages 90% on quizzes, 10% on homework and 82% on tests? 12. 10 L of a 20% solution are mixed with 3 L of an 80% solution. What is the concentration and total volume of the final mixture? 13. How much of a 35% solution should be mixed with 7 gallons of a 60% solution to create a 50% solution? 14. How much of a 10% solution and a 35% solution should be mixed in order. to obtain 10 L of a 28% solution? 15. A total of $8000 is split between two accounts with annual interest yields of 6% and 8%. If there was a total of $586 in interest, how much was invested in each? 6% account = $ 8% account = $