Answer:
C. Price of a shirt is $8, and price of a cap is $3.
Step-by-step explanation:
Let us assume the
initial cost of each shirt = x
initial cost of each cap = y
The total price of a shirt and a cap is $11.
i.e [tex]x+y=11[/tex]
[tex]\Rightarrow y=11-x[/tex] ----------------1
As the price of the shirt was doubled and the price of the cap was 3 times its original price, so
new cost of each shirt = 2x
new cost of each cap = 3y
The total price of a shirt and a cap would be $25.
i.e [tex]2x+3y=25[/tex] --------------2
Putting the value of y from eq 1, in eq 2
[tex]\Rightarrow 2x+3(11-x)=25[/tex]
[tex]\Rightarrow 2x+33-3x=25[/tex]
[tex]\Rightarrow 2x-3x=25-33[/tex]
[tex]\Rightarrow -x=-8[/tex]
[tex]\Rightarrow x=8[/tex]
Putting it in eq 1,
[tex]\Rightarrow y=11-8=3[/tex]
Therefore, price of a shirt is $8, and price of a cap is $3.
