Answer: 139 adults and 46 children. Did you not get this? I'm in 8th grade!!!!!!!
Explanation: a=adults, c=children
Rewrite equations:
a+c=185
2a+1.25c=335.5
Step: Solve a+c=185for a:
a+c=185
a+c+βc=185+βc (Add -c to both sides)
a=βc+185
Step: Substitute βc+185 for 'a' in 2a+1.25c=335.5:
2a+1.25c=335.5
2(βc+185)+1.25c=335.5
β0.75c+370=335.5 (Simplify both sides of the equation)
β0.75c+370+β370=335.5+β370 (Add -370 to both sides)
β0.75c=β34.5
β0.75c
β0.75
=
β34.5
β0.75
(Divide both sides by -0.75)
c=46
Step: Substitute 46 for 'c' in 'a' =βc+185:
a=βc+185
a=β46+185
a=139(Simplify both sides of the equation)
Answer:
a(adults)=139 and c(children)=46