Answer: it would take jenny 9 hours to do alone
Step-by-step explanation:
Answer:
8.99 hours
Step-by-step explanation:
Let [tex]x[/tex] represent the time needed for Jenny to do the job alone.
Let [tex]\frac{5.14}{12}[/tex] represent the proportion of time needed for Natalie to do the job alone.
Similarly, let [tex]\frac{5.14}{x}[/tex] represent the proportion of time needed for Jenny to do the job alone.
Therefore:
[tex]\frac{5.14}{12} + \frac{5.14}{x} = 1[/tex]
First, set the common denominator to [tex]12x[/tex]:
[tex]\frac{5.14x}{12x} + \frac{61.68}{12x} = 1[/tex]
[tex]\frac{5.14x+61.68}{12x} = 1[/tex]
Then, multiply both sides by [tex]12x[/tex]:
[tex]5.14x+61.68 = 12x[/tex]
Next, subtract [tex]5.14x[/tex] from both sides:
[tex]61.68 = 6.86x[/tex]
Now, divide both sides by [tex]6.86[/tex]:
[tex]8.9913 \approx x[/tex]
Therefore, it would take Jenny about 8.99 hours to do the job alone.
