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Emily thinks the perfect tomato sauce has 15 cloves of garlic in every 
6L of sauce. Raphael's tomato sauce has 25 cloves of garlic in every 
9L of sauce.
What will Emily think of the amount of garlic in Raphael's tomato sauce?
Choose 1 answer:
(A) Raphael's tomato sauce has too much garlic.
(B) Raphael's tomato sauce has too little garlic.
(C) Raphael's tomato sauce is perfect.

Emily thinks the perfect tomato sauce has 1515 cloves of garlic in every 6L6\text{L} of sauce. Raphael's tomato sauce has 2525 cloves of garlic in every 9L9\text{L} of sauce.\newlineWhat will Emily think of the amount of garlic in Raphael's tomato sauce?\newlineChoose 11 answer:\newline(A) Raphael's tomato sauce has too much garlic.\newline(B) Raphael's tomato sauce has too little garlic.\newline(C) Raphael's tomato sauce is perfect.

Full solution

Q. Emily thinks the perfect tomato sauce has 1515 cloves of garlic in every 6L6\text{L} of sauce. Raphael's tomato sauce has 2525 cloves of garlic in every 9L9\text{L} of sauce.\newlineWhat will Emily think of the amount of garlic in Raphael's tomato sauce?\newlineChoose 11 answer:\newline(A) Raphael's tomato sauce has too much garlic.\newline(B) Raphael's tomato sauce has too little garlic.\newline(C) Raphael's tomato sauce is perfect.
  1. Calculate Emily's Ratio: To compare the garlic content in Emily's and Raphael's tomato sauces, we need to find the ratio of cloves of garlic to liters of sauce for each.\newlineFor Emily's sauce, the ratio is 1515 cloves of garlic per 66 liters of sauce.
  2. Calculate Raphael's Ratio: Now, let's calculate the ratio for Emily's sauce by dividing the number of cloves of garlic by the number of liters of sauce.\newlineRatio for Emily's sauce = 15 cloves6 liters=2.5 cloves per liter.\frac{15 \text{ cloves}}{6 \text{ liters}} = 2.5 \text{ cloves per liter}.
  3. Compare Ratios: Next, we calculate the ratio for Raphael's sauce in the same way.\newlineRatio for Raphael's sauce = 25 cloves9 liters\frac{25 \text{ cloves}}{9 \text{ liters}}.
  4. Conclusion: Now, let's calculate the exact ratio for Raphael's sauce.\newlineRatio for Raphael's sauce = 25 cloves9 liters2.777 cloves per liter.\frac{25 \text{ cloves}}{9 \text{ liters}} \approx 2.777 \text{ cloves per liter}.
  5. Conclusion: Now, let's calculate the exact ratio for Raphael's sauce.\newlineRatio for Raphael's sauce = 25 cloves9 liters2.777 cloves per liter\frac{25 \text{ cloves}}{9 \text{ liters}} \approx 2.777 \text{ cloves per liter}.Comparing the two ratios, we see that Raphael's sauce has approximately 2.7772.777 cloves per liter, which is more than Emily's preferred 2.52.5 cloves per liter.
  6. Conclusion: Now, let's calculate the exact ratio for Raphael's sauce. Ratio for Raphael's sauce = 25 cloves9 liters2.777 cloves per liter\frac{25 \text{ cloves}}{9 \text{ liters}} \approx 2.777 \text{ cloves per liter}. Comparing the two ratios, we see that Raphael's sauce has approximately 2.7772.777 cloves per liter, which is more than Emily's preferred 2.52.5 cloves per liter. Since Raphael's sauce has more garlic per liter than Emily's preferred ratio, Emily would think that Raphael's tomato sauce has too much garlic.

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