Answer: The cost of 1 shirt is $42
Step-by-step explanation:
Let x represent the cost of a shirt
Let y represent the cost of a tie
From the information given,
3 similar shirts and 3 similar ties cost $189. This means that
3x + 3y = 189
Dividing both sides of the equation by 3,
x + y = 63
Also, the cost of a tie is half the cost of a shirt. It means that
y = x/2
x = 2y
Substituting x = 2y into x + y = 63, it becomes
2y + y = 63
3y = 63
y = 63/3
y = 21
x = 2 x 21
x = 42
The cost of 1 shirt is $42