2017 AMC 10A Problem 4
Problem 4 of 25EasierAlgebra
Mia is “helping” her mom pick up toys that are strewn on the floor. Mia’s mom manages to put toys into the toy box every seconds, but each time immediately after those seconds have elapsed, Mia takes toys out of the box. How much time, in minutes, will it take Mia and her mom to put all toys into the box for the first time?
Answer choices
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Solution
Note that after seconds, there are toys added and removed, leaving a net total of toys in the box.
We have to be careful towards the end, however, since it is possible for the box to have toys right after Mia’s mom adds the toys and before Mia removes them.
After there are toys in the box, Mia’s mom can add leaving toys in the box.
It will take seconds, plus another seconds, which gives us minutes to get toys in the box.
Thus, B is the correct answer.