Answer:
Student Hours worked
April. ![7\frac{7}{8} \ hrs](https://tex.z-dn.net/?f=7%5Cfrac%7B7%7D%7B8%7D%20%5C%20hrs)
Debbie. ![8\frac{1}{8}\ hrs](https://tex.z-dn.net/?f=8%5Cfrac%7B1%7D%7B8%7D%5C%20hrs)
Richard. ![7\frac{19}{24}\ hrs](https://tex.z-dn.net/?f=7%5Cfrac%7B19%7D%7B24%7D%5C%20hrs)
Step-by-step explanation:
Some data's were missing so we have attached the complete information in the attachment.
Given:
Number of Hours Carl worked on Math project = ![5\frac{1}{4}\ hrs](https://tex.z-dn.net/?f=5%5Cfrac%7B1%7D%7B4%7D%5C%20hrs)
can be Rewritten as ![\frac{21}{4}\ hrs](https://tex.z-dn.net/?f=%5Cfrac%7B21%7D%7B4%7D%5C%20hrs)
Number of Hours Carl worked on Math project = ![\frac{21}{4}\ hrs](https://tex.z-dn.net/?f=%5Cfrac%7B21%7D%7B4%7D%5C%20hrs)
Number of Hours Sonia worked on Math project = ![6\frac{1}{2}\ hrs](https://tex.z-dn.net/?f=6%5Cfrac%7B1%7D%7B2%7D%5C%20hrs)
can be rewritten as ![\frac{13}{2}\ hrs](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B2%7D%5C%20hrs)
Number of Hours Sonia worked on Math project = ![\frac{13}{2}\ hrs](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B2%7D%5C%20hrs)
Number of Hours Tony worked on Math project = ![5\frac{2}{3}\ hrs](https://tex.z-dn.net/?f=5%5Cfrac%7B2%7D%7B3%7D%5C%20hrs)
can be rewritten as ![\frac{17}{3}\ hrs.](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B3%7D%5C%20hrs.)
Number of Hours Tony worked on Math project = ![\frac{17}{3}\ hrs.](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B3%7D%5C%20hrs.)
Now Given:
April worked
times as long on her math project as did Carl.
can be Rewritten as ![\frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D)
Number of Hours April worked on math project =
Number of Hours Carl worked on Math project
Number of Hours April worked on math project = ![\frac{3}{2}\times \frac{21}{4} = \frac{63}{8}\ hrs \ \ Or \ \ 7\frac{7}{8} \ hrs](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%5Ctimes%20%5Cfrac%7B21%7D%7B4%7D%20%3D%20%5Cfrac%7B63%7D%7B8%7D%5C%20hrs%20%5C%20%5C%20Or%20%5C%20%5C%207%5Cfrac%7B7%7D%7B8%7D%20%5C%20hrs)
Also Given:
Debbie worked
times as long as Sonia.
can be Rewritten as
.
Number of Hours Debbie worked on math project =
Number of Hours Sonia worked on Math project
Number of Hours Debbie worked on math project = ![\frac{5}{4}\times \frac{13}{2}= \frac{65}{8}\ hrs \ \ Or \ \ 8\frac{1}{8}\ hrs](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B4%7D%5Ctimes%20%5Cfrac%7B13%7D%7B2%7D%3D%20%5Cfrac%7B65%7D%7B8%7D%5C%20hrs%20%5C%20%5C%20Or%20%5C%20%5C%208%5Cfrac%7B1%7D%7B8%7D%5C%20hrs)
Also Given:
Richard worked
times as long as tony.
can be Rewritten as ![\frac{11}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7B8%7D)
Number of Hours Richard worked on math project =
Number of Hours Tony worked on Math project
Number of Hours Debbie worked on math project = ![\frac{11}{8}\times \frac{17}{3}= \frac{187}{24}\ hrs \ \ Or \ \ 7\frac{19}{24}\ hrs](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7B8%7D%5Ctimes%20%5Cfrac%7B17%7D%7B3%7D%3D%20%5Cfrac%7B187%7D%7B24%7D%5C%20hrs%20%5C%20%5C%20Or%20%5C%20%5C%207%5Cfrac%7B19%7D%7B24%7D%5C%20hrs)
Hence We will match each student with number of hours she worked.
Student Hours worked
April. ![7\frac{7}{8} \ hrs](https://tex.z-dn.net/?f=7%5Cfrac%7B7%7D%7B8%7D%20%5C%20hrs)
Debbie. ![8\frac{1}{8}\ hrs](https://tex.z-dn.net/?f=8%5Cfrac%7B1%7D%7B8%7D%5C%20hrs)
Richard. ![7\frac{19}{24}\ hrs](https://tex.z-dn.net/?f=7%5Cfrac%7B19%7D%7B24%7D%5C%20hrs)