One month, Ruby worked 4 hours more than Isaac, and Svetlana worked 4 times as many hours as Ruby. Together they worked 104 hour

Question

Vlada [557]

3 years ago

5

One month, Ruby worked 4 hours more than Isaac, and Svetlana worked 4 times as many hours as Ruby. Together they worked 104 hour

s. Find the number of hours each person worked.

Mathematics

1 answer:

nadya68 [22] · Answer 1 · 2022-06-03T06:59:26+03:00

Let Isaac = x
Ruby = x + 4
Svetlana = 4(x + 4)

Together they worked 104 hours, so...

x + x + 4 + 4(x + 4)= 104
x + x + 4 + 4x + 16 = 104
6x + 20= 104
6x = 84
x = 84/6 = 14

Isaac worked x = 14 hours

Ruby worked x + 4 = 18 hours

Svetlana worked 4(x + 4) = 4×18 = 72 hours

Check your answers...

72 + 18 + 14 = 104
104 = 104 it checks!