Answer:Let's begin by determining the cost of two vanilla and four strawberry ice creams. Assuming each ice cream costs the same amount, we can represent the cost of one ice cream as "x." Therefore, two vanilla ice creams would cost 2x, and four strawberry ice creams would cost 4x. So the total cost would be:
2x + 4x = 6x
The man pays the vendor with a 100-rupee note, so he has paid 100 rupees. The vendor then asks him to pay 10 more or take 4 vanilla and 2 strawberry ice creams. Let's consider both scenarios.
Scenario 1: The man pays 10 more
If the man pays 10 more, he will have paid a total of 110 rupees. The vendor will then give him:
110 - 6x rupees
Scenario 2: The man takes 4 vanilla and 2 strawberry ice creams
If the man takes 4 vanilla and 2 strawberry ice creams, he will have paid for:
4x + 2x = 6x
This means he has paid the same amount as before, which is 6x. Therefore, he will not receive any change back.
Now, let's consider the final part of the question. The man wants to buy two vanilla and three strawberry ice creams. Using the same representation as before, the cost of two vanilla ice creams is 2x, and the cost of three strawberry ice creams is 3x. Therefore, the total cost is:
2x + 3x = 5x
If the man paid 100 rupees initially and did not receive any change back, then he has already paid for 5x. Therefore, the vendor does not need to give him any change back.
Step-by-step explanation: