Each marble bag sold by Carmen's Marble Company contains 4 yellow marbles for every 3 orange marbles. If a bag has 20 yellow marbles, how many orange marbles does it contain?
Question
Each marble bag sold by Carmen's Marble Company contains 4 yellow marbles for every 3 orange marbles. If a bag has 20 yellow marbles, how many orange marbles does it contain?
Solution
The ratio of yellow marbles to orange marbles is 4:3. This means for every 4 yellow marbles, there are 3 orange marbles.
Step 1: Determine the number of sets of yellow marbles in the bag. Since there are 20 yellow marbles and each set of yellow marbles is 4, there are 20/4 = 5 sets of yellow marbles.
Step 2: Since the ratio of yellow to orange marbles is 4:3, this means there are 3 orange marbles for each set of 4 yellow marbles. So, if there are 5 sets of yellow marbles, there are 5*3 = 15 orange marbles.
So, if a bag has 20 yellow marbles, it contains 15 orange marbles.
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