Solution:
Amount Possessed by Janie = $ 3
Amount earned by Janie for a single chore= $ 1.20, also the number of chores can be fraction also.
Cost of a single CD= $ 13.50, which Janie want to buy.
Let number of chores done by Janie which can be a rational number also= x chores
So, transforming the statements into equation
3 + 1.20 x= 13.50
1.20 x= 13.50 - 3
1.20 x = 10.50
[tex]x=\frac{10.50}{1.20}\\\\ x=\frac{35}{4}\\\\ x=8\frac{3}{4}[/tex]
So, number of chores done by Janie to buy a CD is [tex]8\frac{3}{4}[/tex]
Representation on number line is depicted below.
To represent [tex]8\frac{3}{4}[/tex] on number line, draw a line , mark point 0,1,2,3,4,....at equal distances on the number line.
Draw four points at equal distances from number 8,which represents [tex]8\frac{1}{4}[/tex], [tex]8\frac{2}{4}[/tex],[tex]8\frac{3}{4}[/tex] and fourth one is [tex]8\frac{4}{4}=9[/tex]
