Respuesta :
Answer:
Student Hours worked
April. [tex]7\frac{7}{8} \ hrs[/tex]
Debbie. [tex]8\frac{1}{8}\ hrs[/tex]
Richard. [tex]7\frac{19}{24}\ hrs[/tex]
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 = [tex]5\frac{1}{4}\ hrs[/tex]
[tex]5\frac{1}{4}\ hrs[/tex] can be Rewritten as [tex]\frac{21}{4}\ hrs[/tex]
Number of Hours Carl worked on Math project = [tex]\frac{21}{4}\ hrs[/tex]
Number of Hours Sonia worked on Math project = [tex]6\frac{1}{2}\ hrs[/tex]
[tex]6\frac{1}{2}\ hrs[/tex] can be rewritten as [tex]\frac{13}{2}\ hrs[/tex]
Number of Hours Sonia worked on Math project = [tex]\frac{13}{2}\ hrs[/tex]
Number of Hours Tony worked on Math project = [tex]5\frac{2}{3}\ hrs[/tex]
[tex]5\frac{2}{3}\ hrs[/tex] can be rewritten as [tex]\frac{17}{3}\ hrs.[/tex]
Number of Hours Tony worked on Math project = [tex]\frac{17}{3}\ hrs.[/tex]
Now Given:
April worked [tex]1\frac{1}{2}[/tex] times as long on her math project as did Carl.
[tex]1\frac{1}{2}[/tex] can be Rewritten as [tex]\frac{3}{2}[/tex]
Number of Hours April worked on math project = [tex]\frac{3}{2}[/tex] [tex]\times[/tex] Number of Hours Carl worked on Math project
Number of Hours April worked on math project = [tex]\frac{3}{2}\times \frac{21}{4} = \frac{63}{8}\ hrs \ \ Or \ \ 7\frac{7}{8} \ hrs[/tex]
Also Given:
Debbie worked [tex]1\frac{1}{4}[/tex] times as long as Sonia.
[tex]1\frac{1}{4}[/tex] can be Rewritten as [tex]\frac{5}{4}[/tex].
Number of Hours Debbie worked on math project = [tex]\frac{5}{4}[/tex] [tex]\times[/tex] Number of Hours Sonia worked on Math project
Number of Hours Debbie worked on math project = [tex]\frac{5}{4}\times \frac{13}{2}= \frac{65}{8}\ hrs \ \ Or \ \ 8\frac{1}{8}\ hrs[/tex]
Also Given:
Richard worked [tex]1\frac{3}{8}[/tex] times as long as tony.
[tex]1\frac{3}{8}[/tex] can be Rewritten as [tex]\frac{11}{8}[/tex]
Number of Hours Richard worked on math project = [tex]\frac{11}{8}[/tex] [tex]\times[/tex] Number of Hours Tony worked on Math project
Number of Hours Debbie worked on math project = [tex]\frac{11}{8}\times \frac{17}{3}= \frac{187}{24}\ hrs \ \ Or \ \ 7\frac{19}{24}\ hrs[/tex]
Hence We will match each student with number of hours she worked.
Student Hours worked
April. [tex]7\frac{7}{8} \ hrs[/tex]
Debbie. [tex]8\frac{1}{8}\ hrs[/tex]
Richard. [tex]7\frac{19}{24}\ hrs[/tex]
