Respuesta :
Answer:
Alexis = 59
Becca = 74
Cindy = 152
Step-by-step explanation:
a + b + c = 285
a = b - 15
c = 2b + 4
Answer:
Alexis worked 59 hours, Cindy worked 152 hours and Becca worked 74 hours.
Step-by-step explanation:
Givens
- They worked a total of 285 hours.
- Alexis worked 15 hours less than Becca.
- Cindy worked 4 more than twice as many hours as Becca.
- Alexis is [tex]A[/tex].
- Cindy is [tex]C[/tex]
- Becca is [tex]B[/tex]
The expressions that model this problem would be
[tex]A+C+B=285[/tex]
Because all together they work 285 hours.
[tex]A=B-15[/tex]
Because Alexis worked 15 hours less than Becca.
[tex]C=4+2B[/tex]
Because Cindy worked 4 hours more than twice Becca's hours
Now, we replace the last two expression in the first one
[tex]B-15+4+2B+B=285\\4B-11=285\\4B=285+11\\B=\frac{296}{4}=74[/tex]
Then, we replace this value to find others
[tex]C=4+2B=4+2(74)=152[/tex]
[tex]A=B-15=74-15=59[/tex]
Therefore, Alexis worked 59 hours, Cindy worked 152 hours and Becca worked 74 hours.
