Joey collects baseball cards. He already has 245 and for his birthday, each of his 12 friends bought him 25 more. How many baseb
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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 =
For different values for t, we will get different values for x.
Set t = 2.
Then, x =
=
=
= 30
So, if the cost of 1 scarf is $2, then the cost of 1 shirt is $30.
You can check that the limit comes in an undefined form:
In these cases, we can use de l'Hospital rule, and evaluate the limit of the ratio of the derivatives. We have:
and
So, we have