| Bugs Bunny | Three solutions contain a certain acid. The firest contains 10% acid, the second 30%, and the third 50%. A chemist wishes to use all three solutions to obtain a 50-liter mixture containing 32% acid. If the chemist wants to use twice as much of 50% solution as of the 30% solution, how many liters of each solution should be used? |
| Daffy Duck | A supplier of lawn products has three types of grass fertilizer G1, G2, and G3, having nitrogen contents of 30%, 20%, and 15%, respectiviely. The supplier plans to mix them, obtaining 600 pounds of fertilizer with a 25% nitrogen content. The mixture is to contain 100 pounds more of type G3, than of type G2. How much of each type should be used? |
| Elmer Fudd | Find an equation of a circle of the form x2 + y2 + ax + by + c = 0 that passes through the points: (2, 1), (-1, -4), and (3, 0) |
| Foghorn Leghorn | A certain number of three digits is equal to 28 times the sum of its digits. If the tens' digit and the units' digit are interchanged, the number is increased by 18; and if all three digits are reversed, the number is increased by 198. Find the number. |
| Henery Hawk |
| A trucking company owns three types of trucks, numbered I, II, and III. The trucks are equipped to haul three different types of machines per load according to the chart at the right. How many trucks of each type should be sent to haul exactly 15 type X machines, 17 type Y machines , and 20 type Z machines? Assume each truck is fully loaded. |
Machine
used | I | II | III |
| X | 1 | 1 | 1 |
| Y | 0 | 1 | 2 |
| Z | 2 | 1 | 1 |
|
| Marc Anthony | Find an equation of the parabola that has a vertical axis and passes through the points: (2, 5), (-2, -3), and (1, 6). |
| Marvin the Martian | A shop specializes in preparing blends of gourmet coffees. From Columbian, Brazilian, and Kenyan coffees, the owner wishes to prepare 1-pound bags that will sell for $8.50. The cost per pound of these coffees is $10, $6, and $8, respectively. The amount of Columbian is to be three times the amount of Brazilian. Find the amount of each type of coffee in the blend. |
| Pepe Le Pew | Selena receives $537.75 per year in simple interest from three investments totaling $8500. Part is invested at 5.15%, part at 6.05%, and the rest at 7.2%. There is $1500 more invested at 7.2% than at 5.15%. Find the amount invested at each rate. |
| Petunia Pig | A dietitian at Palos Community Hospital wants a patient to have a meal that has 78 grams of protein, 59 grams of carbohydrates, and 75 milligrams of vitamin A. The hospital food service tells the dietitian that the dinner for today is salmon steak, baked eggs and acorn squash. Each serving of salmon steak has 30 grams of protein, 20 grams of carbohydrates, and 2 milligrams of vitamin A. Each serving of baked eggs contains 15 grams of protein, 2 grams of carbohydrates, and 20 milligrams of vitamin A. Each serving of acorn squash contains 3 grams of protein, 25 grams of carbohydrates, and 32 milligrams of vitamin A. How many servings of each food should the dietian provide for the patient? |
| Porky Pig | A stable population of 35,000 birds lives on three islands. Each year 10% of the population on island A migrates to island B, 20% of the population on island B migrates to island C, and 5% of the population of birds on island C migrates to island A. Find the number of birds on each island if the population count on each island does not vary from year to year. |
| Roadrunner | If f(x) = ax3 + bx + c, determine a, b, and c such that the graph of f passes through the points P(-3, -12), Q(-1, 22), and R(2, 13). |
| She Devil | A woman paid $10 for 2 yards of white, 3 yards of blue, and 1 yard of red material. Later she needed more material and paid $3 for 1/3 yard of white, ½ of blue, and ½ yard of red. Find the price of each of the materials. |
| Speedy Gonzales | A man has $9000 invested, part at 4%, part at 5%, and the remainder in a business enterprise. One year the business lost 2% and the man's net income was $205. The next year the business paid 10% and he received altogether $565. Find how much he has invested in the business enterprise. |
| Sylvester | If f(x) = ax3 + bx2 + cx + d, find a, b, c, and d if the graph of f is to pass through (-1, 2), (0.5, 2), (1, 3), and (2, 4.5). |
| Tazmanian Devil | Find an equation of a circle of the form x2 + y2 + ax + by + c = 0 that passes through the points: (-5, 5), (-2, -4), and (2, 4) |
| Tweety Bird | If a particle moves along a coordinate line with a constant acceleration a (in cm/sec2), then at time t (in seconds) its distance s(t) (in centimeters) from the origin is
s(t) = ½at2 + v0t + s0
for the velocity v0 and distance s0 from the origin at t = 0. If the distances of the particle from the origin at t = ½, t = 1, t = 3/2 are 7, 11, and 17 respectively, find a, v0, and s0. |
| Wile E. Coyote |
Machines
used | Hours
used | Items
produced |
A company has three machines A, B, and C that are each capable of producing a certain item. However, because of a lack of skilled operators, only two of the machines can be used simultaneously. The preceding table indicates production over a three-day period using various combinations of the machines. How long would it take each machine, if used alone to produce 1000 items? |
|---|
| A and B | 6 | 4500 |
| A and C | 8 | 3600 |
| B and C | 7 | 4900 |
|
| Yosemite Sam | eAuction.com spent a total of $11 million on advertising in fiscal years 1998, 1999, and 2000. The amount spent in 2000 was three times the amount spent in 1998. The amount spent in 1999 was $3 million less than the amount spent in 2000. How much was spent on advertising each year? |
| Chip | A club purchased a boat, each member paying an equal share. If there had been 6 more members, each would have paid a dollar less; but if there had been 4 less, each would have paid a dollar more. How many memebers are there? |
| Dale | If f(x) = ax4 + bx3 + cx2 + dx + e, find a, b, c, d, and e if the graph of f is to pass through (-2, 1.5), (-1, -2), (1, -3), (2, -3.5), and (3, -4.8). |
| Donald | In electirical circuits, the formula 1/R = (1/R1) + (1/R2) is used to find the total resistance R if two ristors R1 and R2 are connected in parallel. Given three resistors A, B, and C, suppose that the total resistance is 48 ohms if A and B are connected in parallel, 80 ohms if B and C are connected in parallel, and 60 ohms if A and C are connected in parallel. Find the resistances of A, B, and C. |
| Goofy | Find an equation of a parabola that has a vertical axis and passes through the points: (3, -1), (1, -7), and (-2, 14). |
| Mickey | To manufacture an automobile requires painting, drying, and polishing. Epsilon Motor Company produces three types of cars: the Delta, the Beta, and the Sigma. Each Delta requires 10 hours of painting, 3 hours for drying, and 2 hours for polishing. A Beta requires 16 hours of painting, 5 hours of drying, and 3 hours of polishing, while a Sigma requires 8 hours for painting, 2 hours for drying, and 1 hour for polishing. If the company has 240 hours for painting, 69 hours for drying, and 41 hours for polishing per month, how many of each type of car are produced? |
| Minnie | Ricardo spent $16.04 on 33 cent, 22 cent, and 4 cent stamps. He bought a total of 65 stamps. How many of each type did he buy? (Note: There is more than one possible solution.) |
| Pluto | A swimming pool can be filled by three pipes A, B, and C. Pipe A alone can fill the pool in 8 hours. If pipes A and C are used together, the pool can be filled in 6 hours. If B and C are used together, it takes 10 hours. How long does it take to fill the pool if all three pipes are used? |