Question

One month, Kcee worked 6 hours more than Alberto, and Atiana worked 4 times as many hours as Kcee. Together they worked 126 hours. Find the number of hours each person worked.

Answer 1

Answer:

no of hours worked by Kcee =  16 hours

no. of hours worked by Kcee = 22

no. of hours worked by Atiana =  88

Step-by-step explanation:

Let the no. of hours worked by Alberto be x

given that

Kcee worked 6 hours more than Alberto

no. of hours worked by Kcee = x + 6

Given

Atiana worked 4 times as many hours as Kcee

no. of hours worked by Atiana = 4*no. of hours worked by Kcee

no. of hours worked by Atiana = 4*(x + 6) = 4x + 24

Total hours worked by them together in terms of x = x + x + 6 + 4x + 24

Total hours worked by them together in terms of x = 6x + 30

As given Together they worked 126 hours

6x + 30 = 126 hours

6x = 126 - 30

6x = 96

x = 16

Thus, no of hours worked by Kcee = x = 16 hours

no. of hours worked by Kcee = x + 6 = 16 + 6 = 22

no. of hours worked by Atiana =  4x + 24 = 4*16 + 24 = 64 + 24 = 88