Question
Are these ratios equivalent? 94 violins to 16 cellos 64 violins to 21 cellos
Answers
GPT-4o mini
To determine if the two ratios (94 violins to 16 cellos and 64 violins to 21 cellos) are equivalent, we can compare them by cross-multiplying or simplifying both ratios.
First, let's write the ratios in fraction form:
1. \( \frac{94}{16} \)
2. \( \frac{64}{21} \)
Now, we can cross-multiply to see if they are equivalent:
\[
94 \times 21 \quad \text{and} \quad 64 \times 16
\]
Calculating both:
1. \( 94 \times 21 = 1974 \)
2. \( 64 \times 16 = 1024 \)
Since \( 1974 \neq 1024 \), the ratios are not equivalent.
Thus, \( \frac{94}{16} \) is not equal to \( \frac{64}{21} \). The two ratios are not equivalent.
First, let's write the ratios in fraction form:
1. \( \frac{94}{16} \)
2. \( \frac{64}{21} \)
Now, we can cross-multiply to see if they are equivalent:
\[
94 \times 21 \quad \text{and} \quad 64 \times 16
\]
Calculating both:
1. \( 94 \times 21 = 1974 \)
2. \( 64 \times 16 = 1024 \)
Since \( 1974 \neq 1024 \), the ratios are not equivalent.
Thus, \( \frac{94}{16} \) is not equal to \( \frac{64}{21} \). The two ratios are not equivalent.