Whenever Pam travels to a new city, she buys a souvenir mug for her collection. Pam needed to make room for new souvenirs, so she sold 18 of her 'oldest mugs at a garage sale. Now, Pam has 24 souvenir mugs left in her collection. Let m represent how many mugs Pam had in her collection to start. Which equation models the problem? 18+m=24 m-18=24 Solve this equation to find how many mugs Pam had in her collection to start. square mugs

To model the problem, we need to find an equation that represents the situation. Pam had m mugs in her collection to start. She sold 18 of her oldest mugs, so we subtract 18 from the total number of mugs she had initially. This leaves her with 24 mugs. <br /><br />The equation that models this situation is:<br />\[ m - 18 = 24 \]<br /><br />Now, let's solve this equation to find the value of m:<br /><br />\[ m - 18 = 24 \]<br /><br />Add 18 to both sides of the equation to isolate m:<br /><br />\[ m - 18 + 18 = 24 + 18 \]<br /><br />\[ m = 42 \]<br /><br />So, Pam had 42 mugs in her collection to start.