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The ratio of soy sauce to lime juice in a homemade salad dressing is [tex]7:6[/tex]. The ratio of soy sauce to lime juice in a store-bought dressing is [tex]11:9[/tex].

Which dressing has the greater ratio of soy sauce to lime juice?

A. Homemade Salad Dressing
B. Store-Bought Dressing

Answer :

To determine which salad dressing has a greater ratio of soy sauce to lime juice, let's compare the given ratios for the homemade and store-bought dressings.

1. Homemade Salad Dressing:

- The ratio of soy sauce to lime juice is [tex]\(7:6\)[/tex].
- To find the ratio value, divide the amount of soy sauce by the amount of lime juice:
[tex]\[
\text{Ratio for homemade} = \frac{7}{6} \approx 1.1667
\][/tex]

2. Store-Bought Dressing:

- The ratio of soy sauce to lime juice is [tex]\(11:9\)[/tex].
- Similarly, find the ratio value by dividing the amount of soy sauce by the amount of lime juice:
[tex]\[
\text{Ratio for store-bought} = \frac{11}{9} \approx 1.2222
\][/tex]

3. Comparison:

- The ratio for the homemade dressing is approximately 1.1667.
- The ratio for the store-bought dressing is approximately 1.2222.

Since 1.2222 (store-bought) is greater than 1.1667 (homemade), the store-bought dressing has a greater ratio of soy sauce to lime juice. Therefore, the Store-Bought Dressing has the greater ratio of soy sauce to lime juice.