Question

cleats and socks cost $50 total. if the cleats cost $49 more than the socks, how much do they each cost

Answer 1

Answer:

the cleats costs $49.5  and the socks costs $0.5  

Step-by-step 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