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2017 AMC 10A Question 4

AMC10 · 2017 AMC 10A

Question 4

Mia is “helping” her mom pick up $30$ toys that are strewn on the floor. Mia’s mom manages to put $3$ toys into the toy box every $30$ seconds, but each time immediately after those $30$ seconds have elapsed, Mia takes $2$ toys out of the box. How much time, in minutes, will it take Mia and her mom to put all $30$ toys into the box for the first time?
  1. $13.5$
  2. $14$
  3. $14.5$
  4. $15$
  5. $15.5$