Answer:
the cleats costs $49.5 and the socks costs $0.5
Explanation:
Let the cost of the cleats be represented by x and the cost of the socks be represented by y. If the cleats and socks costs a total of $50, it can be represented by the equation:
x + y = 50 . . . (1)
Also, the cleats cost $49 more than the socks, this can be represented by the equation:
x = 49 + y
Therefore: x - y = 49 . . . (2)
Adding equation 1) and 2) to get:
2x = 99
Dividing through by 2
x = 99/2 = 49.5
Substituting x = 49.5 in equation 1):
49.5 + y = 50
y = 50 - 49.5 = 0.5
Therefore the cleats costs $49.5 and the socks costs $0.5