Sam receives 4 dollars more than Nathan for allowance. Nathan receives 8 dollars less than Hector. If Sam receives 15 dollars for allowance, how much does Hector receive?
S = N + 4
N = H - 8
S = 15
S = N + 4
Plug in 15 for 'S':
15 = N + 4
11 = N
N = H - 8
11 = H - 8
Add 8 to both sides:
19 = H
So Hector receives $19 for allowance.
\(\text{Sam}=\text{Nathan+4}\\ \text{Nathan}=\text{Hector}-8\\ \text{Sam}=15\\\\ 15=\text{Nathan+4}\\ \text{Nathan}=11\\\\ 11=\text{Hector}-8\\ \text{Hector}=19\)