Question

Total cost of a pair of shoes and a hoodie is $ 150. The hoodie cost $100 more than the pair of shoes does. How much does each item cost?

Answer 1

Answer:

Cost of pair of shoes = $25 and cost of hoodie =$125

Step-by-step explanation:

Given that total cost of a pair of shoes and hoodie = $150

The hoodie cost $ 100 more than the pair of shoes  

here we need to calculate cost of pair of shes and hoodie

let x and y be the costs of the shoes and hoodie

from given data  x + y = 150 _ (1)

hoodie cost is $100 more than pair of shoes

                           y $-$ x  = 100 _ (2)

add (1) and (2) ⇒   x + y + y$-$ x = 150 + 100

                        ⇒   2y = 250

                        ⇒    y = 125  

y = 125 ⇒  x + 125 = 150

           ⇒   x  =  25

cost of pair of shoes = $25 and cost of hoodie =$125

Answer 2

hoodie=400/3 dollars

pair of shoes=50/3 dollars

Let the cost of hoodie= x

Let the cost of pair of shoes=y

It is given in the question x+y=150

x-2y=100

Solving the equations we will get the values of x and y.

y=50/3,x=400/3

So, the cost of hoodie=400/3 dollars

The cost of pair of shoes=50/3 dollars