WORD-STORY PROBLEMS (TO BE SOLVED BY MEANS OF EQUATIONS)
1. In January of the year 2000, my husband John was eleven times as old as my son
William. In January of 2012, he will be three times as old as my son. How old
was my son in January of 2000?
2. In three more years, Miguel's grandfather will be six times as old as Miguel was
last year. When Miguel's present age is added to his grandfather's present age,
the total is 68. How old is each one now?
3. One-half of Heather's age two years from now plus one-third of her age three
years ago is twenty years. How old is she now?
4. Three times the width of a certain rectangle exceeds twice its length by three
inches, and four times its length is twelve more than its perimeter. Find the
dimensions of the rectangle.
5. Suppose a water tank in the shape of a right circular cylinder is thirty feet long
and eight feet in diameter. How much sheet metal was used in its construction?
6. A piece of wire 42cm long is bent into the shape of a rectangle whose width is
twice its length. Find the dimensions of the rectangle.
7. A circular swimming pool with a diameter of 28 feet has a deck of uniform
width built around it. If the area of the deck is 60 square feet, find its width.
8. If the height of a triangle is five inches less than the length of its base, and if the
area of the triangle is 52 square inches, find the base and the height.
9. If the sum of the sides of a right triangle is 49 inches and the hypotenuse is
41inches, find the two sides.
10. The smallest angle of a triangle is two-thirds of the middle angle, and the middle
angle is three-sevenths of the largest angle. Find all three angle measures.