Question

Janie has $ 3 $3. She earns $ 1 . 2 0 $1.20 for each chore she does and can do fractions of chores. She wants to earn enough money to buy a CD for $ 1 3 . 5 0 $13.50.In a number line

Answer 1

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

`x=(10.50)/(1.20)\\\\ x=(35)/(4)\\\\ x=8(3)/(4)`

So, number of chores done by Janie to buy a CD is
`8(3)/(4)`

Representation on number line is depicted below.

To represent
`8(3)/(4)` 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
`8(1)/(4)`,
`8(2)/(4)`,
`8(3)/(4)` and fourth one is
`8(4)/(4)=9`