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Robert is ordering jerseys for the baseball team

A local company charges $5,25 for each jersey and $45 to create the design

An online company charges $7.75 for each jersey and $20 to create the design

For which number of jerseys is the cost the same at both companies?

A)26 jerseys
B)1 jersey
С)5 jerseys
D)10 jerseys

Respuesta :

Answer: D) 10 jerseys

Step-by-step explanation:

Let j represent the number of jerseys and C for total cost

Local company eqn: C = 5.25j + 45

Online company eqn: C = 7.75j + 20

Set both sides equal to solve:

5.25j + 45 = 7.75j + 20

5.25j - 7.75j = 20 -45

- 2.5j = -25

[tex]\frac{-2.5j}{-2.5}=\frac{-25}{-2.5}[/tex]

j = 10

Therefore, the cost is the same for both companies when 10 jerseys are sold