Answer:
The price for one adult is $10 while the price for one child is $7
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