Question

The total cost of a pair of shoes and hoodie is $150. The hoodie is $100 more than the pair of shoes. What is the cost of each item. What is the mathematical situation.

Answer 1

the pair of shoes may cost $50

Answer 2

$. \huge\underline\bold\red{♡Answer♡}$

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

$\mathsf\red{Step \: by \: step \: explanation: - \:}$

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 hoddie costs $ 125.