2019 AMC 10B Problem 11
Problem 11 of 25IntermediateAlgebra
Two jars each contain the same number of marbles, and every marble is either blue or green. In Jar the ratio of blue to green marbles is and the ratio of blue to green marbles in Jar is There are green marbles in all. How many more blue marbles are in Jar than in Jar
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Solution
Let and be the numbers of green marbles in Jars and , respectively. Then the total numbers of marbles in the jars are and .
The jars contain the same number of marbles, so . Also . Solving gives and .
Jar has blue marbles, and Jar has blue marbles. The difference is . Thus, A is the correct answer.