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In an aquarium, the ratio of sea lions to turtles is 2 : 5 and the ratio of turtles to pufferfish is 3:8. There are 6 sea lions in the aquarium. How many pufferfish are there? ?​

User Jlettvin
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2 Answers

16 votes
16 votes

Final answer:

To find the number of pufferfish in the aquarium, we analyze the given ratios. Using cross-multiplication, we find that there are 15 turtles and 40 pufferfish in the aquarium.

Step-by-step explanation:

To find the number of pufferfish in the aquarium, we need to analyze the given ratios. The ratio of sea lions to turtles is 2:5 and the ratio of turtles to pufferfish is 3:8.

Step 1: Since we are given that there are 6 sea lions in the aquarium, we can set up the ratio:

2/5 = 6/x, where x represents the number of turtles. Cross-multiplying, we get 5 * 6 = 2x, which simplifies to 30 = 2x. Dividing both sides by 2, we find that x = 15. Therefore, there are 15 turtles in the aquarium.

Step 2: Now that we know there are 15 turtles, we can find the number of pufferfish:

3/8 = 15/y, where y represents the number of pufferfish. Cross-multiplying, we get 8 * 15 = 3y, which simplifies to 120 = 3y. Dividing both sides by 3, we find that y = 40. Therefore, there are 40 pufferfish in the aquarium.

User EldadT
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20 votes
20 votes
There are at least 40 pufferfish :)
User Olleolleolle
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