A Veterinarian's Challenge: Adjusting Diets for Simba and Cuddles
The Challenge of Balancing Diets for Simba and Cuddles
Simba, a majestic lion, currently consumes 450 Calories per day. On the other hand, Cuddles, an affectionate teddy bear, enjoys 3,510 Calories daily. However, a veterinarian has decided to change their diets to ensure they consume the same number of Calories each day. This adjustment involves increasing Simba's daily intake by 150 Calories and decreasing Cuddles' daily intake by 190 Calories until they reach an equilibrium. Let's analyze the journey towards dietary harmony for these two adorable creatures.
1. How many days will it take for Simba and Cuddles to consume the same amount of Calories each day?
2. What will be the final daily caloric intake for both Simba and Cuddles?
Final answer:
It will take 9 days for Simba and Cuddles to have the same daily caloric intake. On that day, both animals will be consuming 1,800 calories.
Explanation:
We have two animals, Simba and Cuddles, whose daily caloric intake is adjusted until they consume the same amount of calories. The goal is to determine for how many days both animals will be consuming the same number of calories. Let's call the number of days it takes for them to reach this point 'd'.
Simba starts with 450 calories and gains 150 calories per day, so his caloric intake can be represented by the equation 450 + 150d. Cuddles starts with 3,510 calories and loses 190 calories per day, which gives us the equation 3510 + 190d for his caloric intake.
To find the point where both animals consume the same number of calories, we can set the two equations equal to each other:
450 + 150d = 3510 - 190d
By solving this equation, we find:
450 + 150d + 190d = 3510
340d = 3060
d = 9
So, it will take 9 days for both Simba and Cuddles to consume the same amount of calories. Now, to find out how many calories they will both be consuming, we can plug d back into either equation:
450 + 150 (9) = 1,800 Calories
In 9 days, Simba and Cuddles will be consuming 1,800 calories each day.