Respuesta :
Answer:
The price for one adult is $10 while the price for one child is $7
Step-by-step explanation:
Let
price for an adult = a
price for a child = b
2a + 4b = 48.............(i)
5a + 2b = 64.............(ii)
make a subject of the formula in equation (i)
2a = 48 - 4b
divide through by 2
a = 24 - 2b
Insert the value of a in equation (ii)
5(24 - 2b) + 2b = 64
120 - 10b + 2b = 64
collect like terms
- 8b = 64 - 120
-8b = -56
divide both sides by -8
b = 7
insert the value of b in equation(i)
2a + 4(7) = 48
2a + 28 = 48
2a = 48 - 28
2a = 20
divide both sides by 2
a = 10
The price for one adult is $10 while the price for one child is $7
The ticket for an adult costs $10 and the ticket for a child costs $7
- Let adults tickets be a
- Let children tickets be c
Based on the information given, the equation to solve the question will be:
2a + 4c = 48
5a + 2c = 64
Multiply equation i by 5
Multiply equation ii by 2
10a + 20c = 240
10a + 4c = 128
Subtract the equations
16c = 112
c = 112/16
c = 7
The ticket for a child is $7
Since 2a + 4c = 48
2a + 4(7) = 48
2a + 28 = 48
2a = 48 - 28
2a = 20
a = 20/2
a = 10
The ticket for an adult cost $10
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