If 52s + 64b = 4,892 and if s + b = 83 what are the values of s and b?

(1) 52s + 64b = 4,892

(2) s + b = 83 |subtract b from both sides

s = 83 - b

subtitute (2) to (1):

52 (83 - b) + 64b = 4,892

4,316 - 52b + 64b = 4,892

12b + 4,316 = 4,892 |subtract 4,316 from both sides

12b = 576 |divide both sides by 12

b = 48

subtitute the value of b to (2)

s = 83 - 48

s = 35

Answer: s = 35 and b = 48.