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 needed to sell to get tickets for 175 children, we divide the total number of children by the number of children supported per sale. Since Martine gets one free ticket for every 37 tickets sold, we can set up the following equation: 1. Each set of 37 sold tickets allows Martine to add 1 free ticket. 2. To provide tickets for 175 children, we need to consider that each set of 37 tickets contributes to covering multiple children. Let’s calculate: Let \( x \) be the number of tickets sold. The total number of children (175) can be given as: \[ x + \frac{x}{37} = 175 \] If we multiply through by 37 to eliminate the fraction, we get: \[ 37x + x = 175 \times 37 \] \[ 38x = 6475 \] So, \[ x = \frac{6475}{38} \approx 170.39 \] Since Martine can only sell whole tickets, we round up to the nearest whole number, which means she would need to sell 171 tickets to ensure every child has a ticket (including for the free tickets acquired). Therefore, Martine has to sell **171 tickets** for the 175 kids to attend.