To determine if the two meals have the same ratio of dry food to wet food, we need to calculate the ratios for both Tiger's and Smokey's meals.
For Tiger's meal:
- Amount of dry food = 5 spoonfuls
- Amount of wet food = 10 spoonfuls
The ratio of dry food to wet food for Tiger is: \[ \text{Ratio for Tiger} = \frac{\text{dry food}}{\text{wet food}} = \frac{5}{10} = \frac{1}{2} \]
For Smokey's meal:
- Amount of dry food = 3 spoonfuls
- Amount of wet food = 5 spoonfuls
The ratio of dry food to wet food for Smokey is: \[ \text{Ratio for Smokey} = \frac{\text{dry food}}{\text{wet food}} = \frac{3}{5} \]
Now we compare the two ratios:
- Tiger's ratio = \(\frac{1}{2}\)
- Smokey's ratio = \(\frac{3}{5}\)
To see if these ratios are equal, we can express them with a common denominator or convert them to decimal:
- Convert to decimal:
- \( \frac{1}{2} = 0.5 \)
- \( \frac{3}{5} = 0.6 \)
Since \(0.5 \neq 0.6\), the two ratios are not the same.
- Another method is to cross multiply:
- For \(\frac{1}{2} = \frac{3}{5}\):
- Cross multiplying gives: \(1 \cdot 5 \neq 2 \cdot 3\) or \(5 \neq 6\).
Thus, both methods confirm that the ratios of dry food to wet food in Tiger's and Smokey's meals are different.
In conclusion, the two meals do not have the same ratio of dry food to wet food.