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Mia's Toys

Source: Problem #4 2017 AMC 10A

February 8, 2017
AMCAMC 10AMC 10 A2017 AMC 10Arate problemsrates

Problem Statement

Mia is “helping” her mom pick up 3030 toys that are strewn on the floor. Mia’s mom manages to put 33 toys into the toy box every 3030 seconds, but each time immediately after those 3030 seconds have elapsed, Mia takes 22 toys out of the box. How much time, in minutes, will it take Mia and her mom to put all 3030 toys into the box for the first time?
<spanclass=latexbold>(A)</span> 13.5<spanclass=latexbold>(B)</span> 14<spanclass=latexbold>(C)</span> 14.5<spanclass=latexbold>(D)</span> 15<spanclass=latexbold>(E)</span> 15.5<span class='latex-bold'>(A)</span>\ 13.5\qquad<span class='latex-bold'>(B)</span>\ 14\qquad<span class='latex-bold'>(C)</span>\ 14.5\qquad<span class='latex-bold'>(D)</span>\ 15\qquad<span class='latex-bold'>(E)</span>\ 15.5