Answer:
Adult ticket = $8
Child ticket = $5.5
a = 8 and c = 5.5
Step-by-step explanation:
2a + 4c = 38
3a + 3c = 40.5
To solve for the value of a and c in these equations. We solve the simulatenous equation by substitution method.
2a + 4c = 38 ..........eqn1
3a + 3c = 40.5 ............eqn2
Step 1, Find the value of a in eqn1
2a + 4c = 38
2a = 38 - 4c
a = (38-4c)/2
a = 19 - 2c
Step 2, subtitle the value of a in eqn2 to get the value of c.
3a + 3c = 40.5
3(19-2c) + 3c = 40.5
57 - 6c +3c = 40.5
57-40.5 = 6c -3c
16.5 = 3c
c = 16.5/3
c = 5.5
Step 3, subtitle the value of c in eqn1 to get the value of a.
2a + 4c = 38
2a + 4(5.5) = 38
2a + 22 = 38
2a = 38-22
2a = 16
a = 16/2
a = 8
Therefore:
Adult ticket = $8
Child ticket = $5.5
a = 8 and c = 5.5
