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 @@MATH_TOKEN_0@@
@@MATH_TOKEN_1@@ ----------------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 \(2x+3y=25\) --------------2
Putting the value of y from eq 1, in eq 2
\(\Rightarrow 2x+3(11-x)=25\)
\(\Rightarrow 2x+33-3x=25\)
\(\Rightarrow 2x-3x=25-33\)
\(\Rightarrow -x=-8\)
\(\Rightarrow x=8\)
Putting it in eq 1,
\(\Rightarrow y=11-8=3\)
Therefore, price of a shirt is $8, and price of a cap is $3.
