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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 $15$ cloves of garlic in every $6 \mathrm{~L}$ of sauce. Raphael's tomato sauce has $25$ cloves of garlic in every $9 \mathrm{~L}$ of sauce. $\newline$ What will Emily think of the amount of garlic in Raphael's tomato sauce? $\newline$ Choose $1$ 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.

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Quantities that combine to zero: word problems

Full solution

Q. Emily thinks the perfect tomato sauce has

15

cloves of garlic in every

6 \mathrm{~L}

of sauce. Raphael's tomato sauce has

25

cloves of garlic in every

9 \mathrm{~L}

of sauce.

\newline

What will Emily think of the amount of garlic in Raphael's tomato sauce?

\newline

Choose

1

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.

Find Ratio for Emily's Sauce: First, we need to find out the ratio of cloves of garlic to liters of sauce for Emily's perfect tomato sauce. $\newline$ Emily's ratio is $15$ cloves of garlic per $6$ liters of sauce. $\newline$ To simplify this ratio, we divide the number of cloves by the number of liters to get the number of cloves per liter. $\newline$ $\frac{15 \text{ cloves}}{6 \text{ liters}} = 2.5$ cloves per liter.
Find Ratio for Raphael's Sauce: Next, we need to find out the ratio of cloves of garlic to liters of sauce for Raphael's tomato sauce. $\newline$ Raphael's ratio is $25$ cloves of garlic per $9$ liters of sauce. $\newline$ Similarly, we divide the number of cloves by the number of liters to get the number of cloves per liter. $\newline$ $\frac{25 \text{ cloves}}{9 \text{ liters}} \approx 2.78$ cloves per liter.
Compare Ratios: Now, we compare the two ratios to determine what Emily would think of Raphael's tomato sauce. $\newline$ Emily's perfect ratio is $2.5$ cloves per liter, while Raphael's ratio is approximately $2.78$ cloves per liter. $\newline$ Since $2.78$ is greater than $2.5$ , Raphael's tomato sauce has more garlic per liter than what Emily considers perfect.
Conclusion: Based on the comparison, we can conclude that Emily would think Raphael's tomato sauce has too much garlic.

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