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+−c=185+−c (Add -c to both sides)
a=−c+185
Step: Substitute −c+185 for 'a' in 2a+1.25c=335.5:
2a+1.25c=335.5
2(−c+185)+1.25c=335.5
−0.75c+370=335.5 (Simplify both sides of the equation)
−0.75c+370+−370=335.5+−370 (Add -370 to both sides)
−0.75c=−34.5
−0.75c
−0.75
=
−34.5
−0.75
(Divide both sides by -0.75)
c=46
Step: Substitute 46 for 'c' in 'a' =−c+185:
a=−c+185
a=−46+185
a=139(Simplify both sides of the equation)
Answer:
a(adults)=139 and c(children)=46