Kenji feeds his cats a mixture of wet and dry food at every meal. He mixes 5 spoonfuls of dry food and 10 spoonfuls of wet food for Tiger, his adult cat. He mixes a smaller meal with 3 spoonfuls of dry food and 5 spoonfuls of wet food for his kitten, Smokey. Do the two meals have the same ratio of dry food to wet food?

Answer 1

To determine if the two meals have the same ratio of dry food to wet food, we need to find the ratio for each meal separately.

For Tiger's meal:

• Dry food: 5 spoonfuls
• Wet food: 10 spoonfuls

The ratio of dry food to wet food is:

\[ \frac{\text{Dry Food}}{\text{Wet Food}} = \frac{5}{10} = \frac{1}{2} \]

For Smokey's meal:

• Dry food: 3 spoonfuls
• Wet food: 5 spoonfuls

The ratio of dry food to wet food is:

\[ \frac{\text{Dry Food}}{\text{Wet Food}} = \frac{3}{5} \]

Now, we need to compare the two ratios:

• Tiger's meal ratio = \( \frac{1}{2} \)
• Smokey's meal ratio = \( \frac{3}{5} \)

To compare these two fractions, we can find a common denominator or convert them to decimal form:

1. For \( \frac{1}{2} \), the decimal is \( 0.5 \).
2. For \( \frac{3}{5} \), the decimal is \( 0.6 \).

Since \( 0.5 \neq 0.6 \), the ratios are not the same.

Thus, the two meals do not have the same ratio of dry food to wet food.