Question

They worked a total of 285 hours at the shelter last summer.Alexis worked 15 hours less then becca. Cindy worked 4 more then twice as many hours as becca

Answer 1

Number of Hours Becca worked = 74 hrs

Number of Hours Alexis worked = 59 hours

Number of Hours Cindy worked = 152 hours

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;

`a+b+c=285 \ \ \ \ equation\ 1`

Now given that:

Alexis worked 15 hours less then Becca

Hence we can say that

`a=b-15 \ \ \ \ equation\ 2`

Also Given:

Cindy worked 4 more then twice as many hours as Becca

`c= 2b+4\ \ \ \ equation \ 3`

Now Substituting equation 2 and equation 3 in equation we get;

`a+b+c=285\\\\b-15+b+2b+4=285\\`

Combining like terms we get;

`b+b+2b=285+15-4\\\\4b = 296\\\\b =(296)/(4)=74`

Hence,

Number of Hours Becca worked = 74 hrs

Number of Hours Alexis worked =
`b-15 = 74-15 = 59 hours`

Number of Hours Cindy worked =
`2b+4 = 2* 74 +4 =148+4 = 152 hours`