1. For every 37 tickets she sold, Martine was given a free ticket for one of the children If 175 children wanted to go, how many tickets did Martine have to sell?

To find out how many tickets Martine had to sell for 175 children, we need to determine how many free tickets she would receive. Since she gets 1 free ticket for every 37 tickets sold, we can calculate the total number of tickets she needs to sell to accommodate 175 children. First, let’s divide 175 by 1 (the children receiving free tickets) to see how many sets of 37 tickets she needs: 175 children × 37 tickets sold per free ticket = 6475 total tickets sold. Now, since for every 37 sold, she gets 1 free ticket, we need to find the total number of tickets sold: 6475 total tickets - 175 children = 6300 tickets sold. So, Martine needs to sell a total of 6300 tickets. To solve the problem correctly, it’s essential to ensure all calculations align with the ratios provided in the problem. A common mistake is to forget to consider the free tickets and just calculate how many tickets are needed initially without accounting for the tickets earned through sales.