Answer:
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
The cost of a pair of shoes is $25 dollars and the cost of a hoodie which is $100 more than the pair of shoes is $150 dollars.
A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
Let the cost of a pair of shoes is x dollars and the cost of a hoodie is y dollars. The total cost of a pair of shoes and a hoodie is $150. Thus,
[tex]x+y=150\\[/tex]
[tex]x=150-y[/tex] ......1
The hoodie costs $100 more than the pair of shoes. Thus,
[tex]y=x+100[/tex]
Put the value of x from equation 1 in the above equation.
[tex]y=(150-y)+100\\y=150-y+100\\y+y=150+100\\2y=250\\y=\dfrac{250}{2}\\y=125[/tex]
Put the value of y in the equation 1 as,
[tex]x=150-125\\x=25[/tex]
Thus, the cost of a pair of shoes is $25 dollars and the cost of a hoodie which is $100 more than the pair of shoes is $150 dollars.
Learn more about the system of equations here;
https://brainly.com/question/13729904
