Milly Miffin made one muffin more than Molly’s mother made, and Milly Miffin’s mother made one muffin more than Molly made; and Molly’s mother and Milly and Milly’s mother and Molly made 50 muffins (total), but Molly’s mother and Milly made 4 muffins more than Milly’s mother and Molly made. So murmur how many muffins Milly made.
Algebra I
Ages as Perfect Square
Gil is 17 years older than Sheila. If his age is written after hers, the result is a 4-digit perfect square. The same statement will also be true 13 years from now. Find Sheila’s present age.
Divide Dollar Among 12 Kids
A woman divided $1 among 12 children. Boys got 7 cents; girls got 9 cents. How many girls were there?
Present and Future Ages 2
Sosthenes is three times as old as Benoni. Five years from now the sum of their ages will be 34 years. What are their present ages?
Present and Future Ages 3
Alfie is 5 years old. His mother is 28. How old will Alfie be when he is exactly half as old as his mother?
Train Roars Through Station
An express train roars through the train station, taking 5 seconds to pass a waiting passenger, and 19 seconds to clear the whole station. The platform is 280 meters long. How long is the train, and at what speed is it moving?
Maggie & Aggie Driving
Maggie and Aggie synchronize their watches, rehearse their plan one last time, and start driving their cars at exactly midnight. Maggie heads due east, and Aggie heads due north, traveling 15 mph faster than Maggie. At exactly 1:20 a.m. the two ladies are exactly 100 miles apart, as observed from an inconspicuous police glider piloted by Sulphronia the super agent, who is watching through infra-red binoculars. At what speeds are the two sisters driving?
Audio Equipment
Sue got a lot of money for graduation from a mysterious, rich aunt that she’d never known she had. Her first thought was AUDIO EQUIPMENT, but then she figured she really ought to put it away for a rainy day. She divided it into two parts. One part had $250 more than the other part. She invested the smaller part at 6% interest, and the larger part at 8%. A year later, the total interest she had accumulated was $72.50. How much money did she get from her mysterious, rich aunt for graduation in the first place?
Multiply and Factor
Find the smallest root of the equation (x + 5)(x + 3) – (x + 5)(2x + 7) = 0
Butterfly Garden Paths
A large, beautifully-kept rectangular lawn 40 feet by 60 feet is crossed by four straight paths as shown. The paths are all the same width. If the total area of the paths is 736 square feet, how wide is each path?