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Answer :
To solve this problem, we need to compare the ratios of soy sauce to lime juice in two different salad dressings: homemade and store-bought.
1. Understand the Ratios:
- The homemade salad dressing has a ratio of soy sauce to lime juice of 7:6.
- The store-bought salad dressing has a ratio of soy sauce to lime juice of 11:9.
2. Convert Ratios to Fractions:
- A ratio can be treated as a fraction for comparison purposes.
- The homemade salad dressing ratio 7:6 can be expressed as the fraction [tex]\(\frac{7}{6}\)[/tex].
- The store-bought salad dressing ratio 11:9 can be expressed as the fraction [tex]\(\frac{11}{9}\)[/tex].
3. Calculate the Decimal Values:
- Convert the fraction [tex]\(\frac{7}{6}\)[/tex] to a decimal by dividing 7 by 6. This equals approximately 1.1667.
- Convert the fraction [tex]\(\frac{11}{9}\)[/tex] to a decimal by dividing 11 by 9. This equals approximately 1.2222.
4. Compare the Decimals:
- With the decimals, we compare 1.1667 (homemade) and 1.2222 (store-bought).
- Since 1.2222 is greater than 1.1667, the store-bought dressing has the greater ratio of soy sauce to lime juice.
Therefore, the store-bought salad dressing has the greater ratio of soy sauce to lime juice.
1. Understand the Ratios:
- The homemade salad dressing has a ratio of soy sauce to lime juice of 7:6.
- The store-bought salad dressing has a ratio of soy sauce to lime juice of 11:9.
2. Convert Ratios to Fractions:
- A ratio can be treated as a fraction for comparison purposes.
- The homemade salad dressing ratio 7:6 can be expressed as the fraction [tex]\(\frac{7}{6}\)[/tex].
- The store-bought salad dressing ratio 11:9 can be expressed as the fraction [tex]\(\frac{11}{9}\)[/tex].
3. Calculate the Decimal Values:
- Convert the fraction [tex]\(\frac{7}{6}\)[/tex] to a decimal by dividing 7 by 6. This equals approximately 1.1667.
- Convert the fraction [tex]\(\frac{11}{9}\)[/tex] to a decimal by dividing 11 by 9. This equals approximately 1.2222.
4. Compare the Decimals:
- With the decimals, we compare 1.1667 (homemade) and 1.2222 (store-bought).
- Since 1.2222 is greater than 1.1667, the store-bought dressing has the greater ratio of soy sauce to lime juice.
Therefore, the store-bought salad dressing has the greater ratio of soy sauce to lime juice.
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