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

The pair of shoes costs $ 25 and the hoodie costs $ 125

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Cost of a pair of shoes and a hoodie = $ 150

Hoodie costs $100 more than the pair of shoes

2. How much does each item cost?

Let x represent the cost of pair of shoes

In consequence, we have:

x + (x + 100) = 150

x + x + 100 = 150

2x + 100 = 150

2x = 150 - 100

2x = 50

x = 25 ⇒ x + 100 = 125

The pair of shoes costs $ 25 and the hoodie costs $ 125