Final answer:
The correct inequality that represents this situation is 4x + 6y ≤ 60. Let x represent the number of hats and y represent the number of t-shirts. The hats cost $10 each and the t-shirts cost $15 each. The total cost of the hats is $10x and the total cost of the t-shirts is $15y. The sum of the two costs must be less than or equal to $60. Therefore, the correct inequality is 10x + 15y ≤ 60.
Step-by-step explanation:
The correct inequality that represents this situation is 4x + 6y ≤ 60.
Let x represent the number of hats and y represent the number of t-shirts. The hats cost $10 each and the t-shirts cost $15 each. In order to find an inequality that represents this situation, we need to consider the total cost of the hats and t-shirts. The total cost of the hats is $10x and the total cost of the t-shirts is $15y. The sum of the two costs must be less than or equal to $60, since she has $60 to spend on souvenirs.
Therefore, the correct inequality is 10x + 15y ≤ 60.