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

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

$x=\frac{10.50}{1.20}\\\\ x=\frac{35}{4}\\\\ x=8\frac{3}{4}$

So, number of chores done by Janie to buy a CD is $8\frac{3}{4}$

Representation on number line is depicted below.

To represent $8\frac{3}{4}$ 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  $8\frac{1}{4}$, $8\frac{2}{4}$,$8\frac{3}{4}$ and fourth one is  $8\frac{4}{4}=9$