Chapter 7.2, Problem 19P

* The ratio of Frank’s marbles to Huang’s marbles is 3 to 2. After Frank gives $\frac{1}{2}$ of his marbles to another friend, Frank has 30 fewer marbles than Huang. How many marbles does Huang have?

a. Explain how to solve the problem with the aid of a strip diagram.

b. Create an easier problem for your students by changing the ratio, 3 to 2, to a different ratio and by changing the number of marbles, 30, to a different number of marbles. Make sure the problem has a sensible answer. Explain how to solve the problem.

c. Create a problem of about the same level of difficulty as the original problem by changing the ratio, 3 to 2, to a different ratio and by changing the number of marbles, 30, to a different number of marbles. Make sure the problem has a sensible answer. Explain how to solve the problem.