Question

complete your work on a separate sheet of paper after you complete the sentence uploader work to the Box

Answer 1

$\text{Ella takes 1}\frac{3}{5}hr\text{ to complete a painting. That will be:}$$1+\frac{3}{5}=\frac{5}{5}+\frac{3}{5}=\frac{8}{5}hr$

Holly takes 3/4 of that time, then Holly takes:

$\frac{3}{4}\frac{8}{5}hr=\frac{24}{20}hr$

We can simplify that

$\frac{24}{20}=\frac{12}{10}=\frac{6}{5}$

That is the time for one painting. Then, for 5 paintings it will take 5 times that:

$\text{Time for Holly to complete 5 paintings = 5}\cdot\frac{6}{5}hr=\frac{30}{5}hr=6hr$

That will be the answer to a) (6hr)

For b) we know Ella takes 8/5 hr for a painting, then, for 5 paintings:

$\text{Time for Ella to complete 5 paintings = 5}\cdot\frac{8}{5}hr=\frac{40}{5}hr=8hr$

Then, Ella takes 8hr - 6hr = 2hr longer than Holly to complete 5 paintings

That will be the answer for b)