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The Soup Shack usually makes tomato soup with 9 tomatoes for every 12 bowls of soup. Today, they used 6 tomatoes to make 8 bowls of soup.
How does the tomato taste in today's soup compared to the usual recipe?
Choose 1 answer:
(A) Today's soup has a weaker tomato taste.
(B) Today's soup has a stronger tomato taste.
(C) Today's soup will taste the same.

The Soup Shack usually makes tomato soup with $9$ tomatoes for every $12$ bowls of soup. Today, they used $6$ tomatoes to make $8$ bowls of soup. $\newline$ How does the tomato taste in today's soup compared to the usual recipe? $\newline$ Choose $1$ answer: $\newline$ (A) Today's soup has a weaker tomato taste. $\newline$ (B) Today's soup has a stronger tomato taste. $\newline$ (C) Today's soup will taste the same.

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Experimental probability

Full solution

Q. The Soup Shack usually makes tomato soup with

9

tomatoes for every

12

bowls of soup. Today, they used

6

tomatoes to make

8

bowls of soup.

\newline

How does the tomato taste in today's soup compared to the usual recipe?

\newline

Choose

1

answer:

\newline

(A) Today's soup has a weaker tomato taste.

\newline

(B) Today's soup has a stronger tomato taste.

\newline

(C) Today's soup will taste the same.

Find Ratios: To compare the tomato taste in today's soup to the usual recipe, we need to find the ratio of tomatoes to bowls of soup for each scenario.
Usual Recipe Ratio: For the usual recipe, the ratio is $9$ tomatoes for every $12$ bowls of soup. We simplify this ratio by dividing both numbers by their greatest common divisor, which is $3$ . $\newline$ $9 \div 3 = 3$ $\newline$ $12 \div 3 = 4$ $\newline$ So, the simplified ratio for the usual recipe is $3$ tomatoes for every $4$ bowls of soup.
Today's Soup Ratio: For today's soup, the ratio is $6$ tomatoes for every $8$ bowls of soup. We simplify this ratio by dividing both numbers by their greatest common divisor, which is $2$ . $\newline$ $6 \div 2 = 3$ $\newline$ $8 \div 2 = 4$ $\newline$ So, the simplified ratio for today's soup is $3$ tomatoes for every $4$ bowls of soup.
Compare Ratios: Comparing the simplified ratios of tomatoes to bowls of soup for the usual recipe $(3:4)$ and today's soup $(3:4)$ , we see that they are the same.
Conclusion: Since the ratios are the same, the tomato taste in today's soup will taste the same as the usual recipe.

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