Answer:
[tex]Persephone = 27\frac{3}{7}[/tex]
[tex]Madison = 20\frac{4}{7}[/tex]
Step-by-step explanation:
Given
[tex]Pages = 48[/tex]
[tex]P=8\ mins[/tex] --- Persephone
[tex]M = 6\ mins[/tex] --- Madison
The question is incomplete, however a possible question could be:
To determine the number of pages colored by each of them
First, we determine the ratio of time spent by each:
[tex]P : M = 8 : 6[/tex]
The number of pages covered by Persephone is:
[tex]Persephone = \frac{P}{P + M} * Pages[/tex]
[tex]Persephone = \frac{8}{8+6} * 48[/tex]
[tex]Persephone = \frac{8}{14} * 48[/tex]
[tex]Persephone = \frac{384}{14}[/tex]
Simplify
[tex]Persephone = 27\frac{3}{7}[/tex]
This implies that Madison colors the remaining pages.
This is calculated as:
[tex]Madison = Pages - Persephone[/tex]
[tex]Madison = 48 - \frac{384}{14}[/tex]
Take LCM
[tex]Madison = \frac{48 * 14 - 384}{14}[/tex]
[tex]Madison = \frac{288}{14}[/tex]
Simplify
[tex]Madison = 20\frac{4}{7}[/tex]
