A shirt and a tie is $64. The shirt costs $30 more than the tie what is the cost of the shirt ?

$47

Step-by-step explanation:

Create a system of equations where s is the cost of a shirt and t is the cost of a tie:

s + t = 64

s = t + 30

Solve by substitution by substituting (t + 30) into the first equation as s:

s + t = 64

(t + 30) + t = 64

Add like terms and solve for t:

2t + 30 = 64

2t = 34

t = 17

Then, plug in 17 as t into one of the equations to find s:

s = t  + 30

s = 17 + 30

s = 47

So, the cost of the shirt is $47