Respuesta :
Answer:
Number of Hours Becca worked = 74 hrs
Number of Hours Alexis worked = 59 hours
Number of Hours Cindy worked = 152 hours
Step-by-step explanation:
Given:
Total hours worked by them = 285 hours.
Let the Number of hours worked by Alexis be a
Let the Number of hours worked by Becca be b.
Let the Number of hours worked by Cindy be c.
Hence we can say that;
[tex]a+b+c=285 \ \ \ \ equation\ 1[/tex]
Now given that:
Alexis worked 15 hours less then Becca
Hence we can say that
[tex]a=b-15 \ \ \ \ equation\ 2[/tex]
Also Given:
Cindy worked 4 more then twice as many hours as Becca
[tex]c= 2b+4\ \ \ \ equation \ 3[/tex]
Now Substituting equation 2 and equation 3 in equation we get;
[tex]a+b+c=285\\\\b-15+b+2b+4=285\\[/tex]
Combining like terms we get;
[tex]b+b+2b=285+15-4\\\\4b = 296\\\\b =\frac{296}{4}=74[/tex]
Hence,
Number of Hours Becca worked = 74 hrs
Number of Hours Alexis worked = [tex]b-15 = 74-15 = 59 hours[/tex]
Number of Hours Cindy worked = [tex]2b+4 = 2\times 74 +4 =148+4 = 152 hours[/tex]
