set 1. For every 37 tickets she sold, Martine was given a free ticket for one of the children. If 33 175 children wanted to go, how many tickets did Martine have to sell?
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To determine how many tickets Martine needed to sell, we first need to find out how many total tickets are required for the 175 children. Since for every 37 tickets sold, Martine gets 1 free ticket, the total number of tickets needed can be expressed as: Total tickets = 175 - (Total tickets sold / 37). Let X be the number of paid tickets. We can set up the equation: X + (X / 37) = 175. To solve this, multiply through by 37 to eliminate the denominator: 37X + X = 6,475 38X = 6,475 X = 170 (rounded up). So, Martine needed to sell **170 tickets** to ensure all 175 children could attend! This also explains that her effort in selling tickets not only helped the children go to the event but also rewarded her with free tickets through her hard work!