if nick earns 30$ an hour for pluming and his brother earns 20$ how many hours do they work if they earned 470$

Question

nick worked four more hours than Ivan did 

Answer 1

Let N and V be the number of hours worked by Nick and Ivan.

 

 

"Nick worked 4 more hours than Ivan did"

 

-->Translation to math: N = V + 4

 

 

"The money Nick made and the money Ivan made add up to 470"

 

--> 30N + 20V = 470

 

 

We can substitute N = V+4

 

30(V+4) + 20V = 470

 

30V + 120 + 20V = 470

 

50V = 350

 

V = 7

 

Then N = V + 4 = 7+4 = 11

 

So N=11 and V=7