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A cooler contains the following beverages: 40 bottles of water, 20 apple juice boxes, 25 cans of lemonade. What is the ratio of apple juices to cans of lemonade in the cooler? Which two beverages in the cooler are related by the ratio 1:2? Explain how you found your answers.

A. Ratio: 1:2; Apple Juice and Lemonade
B. Ratio: 2:1; Apple Juice and Water
C. Ratio: 1:2; Water and Lemonade
D. Ratio: 2:1; Water and Apple Juice

User AnnieOK
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1 Answer

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Final answer:

The ratio of apple juice boxes to lemonade cans is 4:5, not 1:2. The correct 1:2 ratio is observed between water bottles and apple juice boxes, with a total of 40 water bottles and 20 apple juice boxes.

Step-by-step explanation:

To determine the ratio of apple juices to cans of lemonade, we simply compare the two quantities directly. There are 20 apple juice boxes and 25 cans of lemonade. Hence, the ratio is 20 apple juices to 25 lemonade cans, which can be simplified by dividing each by the greatest common divisor, which is 5, giving us a simplified ratio of 4:5. Therefore, there is no 1:2 ratio between apple juice boxes and lemonade cans.

Next, looking at the pairs of beverages to find the 1:2 ratio, we see that there are 40 bottles of water and 20 boxes of apple juice. This is exactly a 2:1 ratio, which when inverted becomes 1:2, making option D (40 bottles of water to 20 apple juice boxes) the correct choice.

For completeness, to check the relationship between the other pairs of beverages: water and lemonade is 40:25 which simplifies to 8:5, not 1:2. Thus, option C is incorrect.

User Sebastian Hoitz
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