@qAGE TUTORIAL -- PART TWO. Here is a sample Age Word Problem.@dg10&d(0,)@jCaroline is 7 years older than Mikio. In 4 years, she will be twice as old as Mikio. How old is each person now?&c(1,Mikio)&c(2,Caroline)&d(3,Age Now)&d(6,Difference)&d(9,Age Then)@rREAD@pRead the whole problem. Think: What are the facts? What is being asked?      (Any key to continue.)@hWhat are the facts?&qCaroline is 7 years older than Mikio&q&qIn 4 years, she will be twice as old as Mikio&q@hWhat is being asked? &hHow old is each person now?&h@i(0)@rDATA ENTRY@pUsing a variable, represent Mikio's Age Now.@hSince Mikio is the younger one, choose a variable to represent his Age Now.&qCaroline is 7 years older than Mikio&q@hChoose any variable such as `m' to represent Mikio's Age Now.@i(4,i,&v)@pRepresent Caroline's Age Now in terms of "&v", Mikio's Age Now.@hUse one variable for both people's Age Now. Represent Caroline's age in terms of "&v" (Mikio's Age).&qCaroline is 7 years older than Mikio&q@hSince she is 7 years older than Mikio, "&v+7" will represent her Age Now.@i(5,i,&v+7)@pIndicate the Difference between Age Now and Age Then by entering `+' or `-' the number of years.@h&hIn 4 years&h, refers to 4 years in the future.@hUse `+4' to represent `in 4 years'.@i(7,i,+4)&d(8,+4)&c(13,Age Now + Difference = Age Then)@pUse the Equation Idea to represent Mikio's age in 4 years (Age Then).&w(13)@hMikio is "&v" now. Add the Difference to get Age Then.@hMikio is "&v" now and in 4 years he will be "&v+4" years old.@i(10,i,&v+4)@pUse the Equation Idea to represent Caroline's age in 4 years (Age Then).@hCaroline is `&v+7' years old now.@hCaroline is `&v+7' years old now. In 4 years she will be `&v+7+4' or `&v+11' years old.@i(12,i,&v+11)@pUse the Multiplier Window to show the relation between Mikio's Age Then and Caroline's Age Then.&qtwice as old&q@hIn 4 years Caroline will be 2 times Mikio's age.@hEnter `2' and press the <Return> key.@i(11,i,2)@rCOMPUTE&c(13,(&v+4)   * 2  =  &v+11)@pUse the Calculator to solve the equation for "&v" (Mikio's Age Now).@hThe Calculator solves equations for you and displays steps in the solution.@hRemember to multiply both "&v" and 4 by 2. Isolate "&v" on one side of the equation. Enter `&v=3'.@i(13,i,&v=3)@pNow you are ready to enter your answers to the problem in the grid.&qHow old is each person now?&q@h"&v" represents Mikio's Age Now.@hSince `&v=3', Mikio is `3' years old now.@i(4,i,3)@h"&v+7" represents Caroline's Age Now.@hSince &v=3, Caroline's Age Now is 3+7, or `10' years old.@i(5,i,10)@rCHECK@pReread the problem. Check your answers. Evaluate the remaining expressions in the grid.@hSubstitute for "&v" in the expression for Mikio's Age Then. Calculate the result.@hMikio's Age Then is "&v+4", so in 4 years he will be 3+4, or `7' years old.@i(10,i,7)@hSubstitute for "&v" in the expression for Caroline's Age Then. Calculate the result.@hCaroline's Age Then is `&v+11', so in 4 years she will be 3+11, or `14' years old.@i(12,i,14)&d(0,Check your work. 2 times Mikio's Age Then should equal Caroline's Age Then.)&d(0,This completes the Tutorial. You are now ready for Level 2, Age Problems.)|