Answer:
a) 3/7
b) $14
Step-by-step explanation:
let the total of his Money be x
on some comics = 3/7 of x
[tex] \frac{3}{7} \times x \: = \frac{3x}{7} [/tex]
remaining money = x - 3x/7
[tex]x - \frac{3x}{7} = \frac{7x - 3x}{7} = \frac{4x}{7} [/tex]
on a pack of cards = 1/4 of 4x/7
[tex] \frac{1}{4} \times \frac{4x}{7} = \frac{4x}{28} = \frac{x}{7} [/tex]
a) left fraction = total money - all spent money
note that; all spent money = money spent on some comics and pack of cards
[tex]x - ( \frac{3x}{7} + \frac{x}{7} )[/tex]
[tex]x - ( \frac{3x + x }{7} )[/tex]
[tex]x - \frac{4x}{7} = \frac{7x - 4x}{7} = \frac{3x}{7} [/tex]
left fraction = 3/7 of the money
b) left money = 3x/7
but since left money is $6
therefore, $6 = 3x/7
multiply both sides by 7
[tex]6 \times 7 = \frac{3x}{7} \times 7[/tex]
42= 3x
divide both sides by 3
x = 42/3
x = 14
total money = $14
