Question

Are these ratios equivalent? 93 cones to 12 bowls 98 cones to 20 bowls

Answer 1

To determine if the ratios \( \frac{93 \text{ cones}}{12 \text{ bowls}} \) and \( \frac{98 \text{ cones}}{20 \text{ bowls}} \) are equivalent, we can simplify both ratios and compare them.

1. Simplifying the first ratio:

\[
\frac{93}{12} = 7.75
\]

2. Simplifying the second ratio:

\[
\frac{98}{20} = 4.9
\]

Since \( 7.75 \neq 4.9 \), the ratios are not equivalent.

To further confirm, we can cross-multiply:

\[
93 \times 20 \quad \text{and} \quad 98 \times 12
\]

Calculating both sides:

\[
93 \times 20 = 1860
\]
\[
98 \times 12 = 1176
\]

Since \( 1860 \neq 1176 \), this also shows that the ratios are not equivalent. Thus, the ratios \( 93 \text{ cones} : 12 \text{ bowls} \) and \( 98 \text{ cones} : 20 \text{ bowls} \) are not equivalent.