I. The last two problems in the "Simple Equations" chapter of Wentworth's New School Algebra (published in 1898), p. 32:
Thursday, January 20, 2011
A man bought 10 yards of calico and 20 yards of cloth for $30.60. The cloth cost as many quarters per yard as the calico cost cents per yard. Find the price of each per yard.
A man has a certain number of dollars, half-dollars, and quarters. The number of quarters is twice the number of half-dollars and four times the number of dollars. If he has $15, how many coins of each kind has he?
II. The last two problems in the "The Math Club: Solving Equations" chapter of College Preparatory Mathematics Foundations for Algebra: Year 2, pp. 202-203:
Tom is buying new computers for his writing team. He can buy the first five at a dealer discount. The other fifteen will be purchased for an extra $50 each. The cost of the computers comes to a grand total of $11,750. Find out how much each of the discounted computers cost. A Guess and Check table might be useful. Write an equation.
Below is a list of Tool Kit entries from this chapter.
MC-119 Mixed Numbers
Review all the entries and read the notes you made in your Tool Kit. Make a list of any questions, terms, or notes you do not understand. Ask your partner or study team members for help. If anything is still unclear, ask your teacher.
III. Extra Credit
Approximately what percentage of CPM students will be able to solve the Wentworth problems, assuming they are armed with Guess and Check tables and Tool Kits?
Approximately what percentage of CPM students would have to list the Wentworth problems under things they "do not understand"? Approximately what percentage would find that the solutions are "still unclear" after talking to their "partner or study team members" and therefore have to ask their teacher?