The cost of one shirt is $24. The correct option is D.
Given that the Five pairs of jeans and two shirts cost $213, while three pairs of jeans and four shirts cost $195.
We want to find the cost of one shirt.
Let the cost of one pair of jeans is $x and the cost of 1 shirt be $y.
As it is given that the cost of five pairs of jeans and two shirts is $213.
So, we get
5x+2y=213......(1)
It is also given that the cost of three pairs of jeans and four shirts is $195.
So, we get
3x+4y=195.......(2)
Now, we will find the value of x from equation (1) and substitute into equation 2, we get
From equation 1, the value of x is
x=(213-2y)/5
Substitute this into equation 2, we get
(3/5)(213-2y)+4y=195
(639/5)-(6y/5)+4y=195
(-6y+20y)/5=195-(639/5)
14y/5=(975-639)/5
14y/5=336/5
14y=336
y=24
Further, we will substitute the value of y in x=(213-2y)/5, we get
x=(213-2×24)/5
x=(213-48)/5
x=165/5
x=33
Hence, the cost of one shirt when five pairs of jeans and two shirts cost $213, while three pairs of jeans and four shirts costs $195 is $24.
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