Answer:
The cost of a shirt is $21.99 and of a tie is $14.99.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
x is the cost of a shirt.
y is the cost of a tie.
Jordan buys 3 identical shirts and 2 identical ties for $95.95.
This means that [tex]3x + 2y = 95.95[/tex]
Gabe buys 4 of the same shirts and a tie for $102.95.
This means that [tex]4x + y = 102.95[/tex]
So
[tex]y = 102.95 - 4x[/tex]
Replacing in the first equation:
[tex]3x + 2(102.95 - 4x) = 95.95[/tex]
[tex]3x + 205.9 - 8x = 95.95[/tex]
[tex]5x = 109.95[/tex]
[tex]x = \frac{109.95}{5}[/tex]
[tex]x = 21.99[/tex]
[tex]y = 102.95 - 4x = 102.95 - 4*21.99 = 14.99[/tex]
The cost of a shirt is $21.99 and of a tie is $14.99.
