Answer:
Adult tickets cost $11 and child tickets cost $13
Step-by-step explanation:
Multiply the second equation by -2, then add the equations together.
(8a+9c=205)
−2(4a+3c=83)
Becomes:
8a+9c=205
−8a−6c=−166
Add these equations to eliminate a:
3c = 39
Then solve3c=39for c:
3c=39
[tex]\frac{3c}{3}[/tex] = [tex]\frac{39}{3}[/tex]
(Divide both sides by 3)
c = 13
Now that we've found c let's plug it back in to solve for a.
Write down an original equation:
8a+9c=205
Substitute 13 for c in 8a+9c=205:
8a+(9)(13)=205
8a+117=205 (Simplify both sides of the equation)
8a+117+−117=205+−117 (Add -117 to both sides)
8a=88
[tex]\frac{8a}{8}[/tex] = [tex]\frac{88}{8}[/tex]
(Divide both sides by 8)
a = 11
