MathDB
an army of frogs

Source: 2024 AMC 8 P21

January 25, 2024
AMC 82024 AMC 8AMCratio

Problem Statement

A group of frogs (called an army) is living in a tree. A frog turns green when in the shade and yellow when in the sun. Initially the ratio of green to yellow frogs was 3:1. Then 3 green frogs moved to the sunny side and 5 yellow frogs moved to the shady side. Now the ratio is 4:1. What is the difference between the number of green frogs and yellow frogs now?
<spanclass=latexbold>(A)</span>10<spanclass=latexbold>(B)</span>12<spanclass=latexbold>(C)</span>16<spanclass=latexbold>(D)</span>20<spanclass=latexbold>(E)</span>24<span class='latex-bold'>(A) </span> 10\qquad<span class='latex-bold'>(B) </span> 12\qquad<span class='latex-bold'>(C) </span> 16\qquad<span class='latex-bold'>(D) </span> 20\qquad<span class='latex-bold'>(E) </span> 24