Question

A pair of cleats and a pair of crocs is $200 the difference in the cost is $55 determine the cost of each type of footwear

Answer 1

The cost of the cleats is $127.50, and the cost of the crocs is $72.50, which was determined by setting up and solving a system of linear equations based on the given total cost and the difference in cost.

Step-by-step explanation:

To determine the cost of each type of footwear (cleats and crocs), we need to set up a system of equations based on the information given: A pair of cleats and a pair of crocs cost $200, and the difference in the cost is $55.

Let's denote the cost of the cleats as C and the cost of the crocs as K.

The first equation comes from the total cost:

C + K = 200

The second equation comes from the difference in cost:

C - K = 55

We can solve this system of equations using the method of addition (or elimination). Adding the two equations cancels out K, and we get:

2C = 255

Dividing by 2 gives us the cost of the cleats:

C = 255 / 2

C = 127.5

Now, we substitute the value of C back into either equation to find K. Using C + K = 200:

127.5 + K = 200

K = 200 - 127.5

K = 72.5

The cost of the cleats is $127.50 and the cost of the crocs is $72.50.

Answer 2

X= cleats
(X-55)crocs
X +(x-55) = 200
2x=255
X=127.50
127.50-55= 72.5

So one is 127.50 and the other is 72.50

(I’m guessing in the problem it says which one is cheaper) therefore you know what answer correlates with the crocs and cleats