Question

What is the cost of 1 shirt if I have 3 shirts and 2 scarves totaling $94?

Answer 1

Let x be the cost of 1 shirt and y be the cost of 1 scarf.

Since, 3 shirts and 2 scarves cost $94, we have,

3x + 2y = 94

Since the number of unknowns is greater than the number of equations (2 > 1), the above system has infinitely many solutions.

If t is the cost of 1 scarf, then

3x + 2t = 94

3x = 94 - 2t

x =
`(94-2t)/(3)`

For different values for t, we will get different values for x.

Set t = 2.

Then, x =
`(94-2(2))/(3)`

=
`(94-4)/(3)`

=
`(90)/(3)`

= 30

So, if the cost of 1 scarf is $2, then the cost of 1 shirt is $30.