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```plaintext
\begin{tabular}{|l|l|l|}
\hline
& Mangos Used & Smoothie Size \\
\hline
Angela & 1 & 90 oz \\
\hline
Kim & 3 & 27 oz \\
\hline
Bri & 4 & 36 oz \\
\hline
\end{tabular}

Which statement is correct based on the data?

A. The ratio of smoothie size to mangos used for Kim is the same as the ratio of smoothie size to mangos used for Angela.
B. The ratio of smoothie size to mangos used for Kim is 19, and the ratio of smoothie size to mangos used for Bri is [tex]$4: 27$[/tex].
C. The ratio of smoothie size to mangos used for Angela is higher than the ratio of smoothie size to mangos used for Kim.
D. The ratio of smoothie size to mangos used for Bri is [tex]$9: 1$[/tex], and the ratio of smoothie size to mangos used for Angela is [tex]$4: 36$[/tex].
```

Sagot :

GinnyAnsweridn
Let's analyze each statement one by one according to the information given in the table:

| Person | Mangos Used | Smoothie Size |
|---------|--------------|---------------|
| Angela | 1 | 90 oz |
| Kim | 3 | 27 oz |
| Bri | 4 | 36 oz |

Step 1: Calculating the Ratios

1. Angela's Ratio: Smoothie size to mangos used
[tex]\[ \text{Ratio (Angela)} = \frac{\text{Smoothie Size}}{\text{Mangos Used}} = \frac{90 \text{ oz}}{1} = 90.0 \][/tex]

2. Kim's Ratio: Smoothie size to mangos used
[tex]\[ \text{Ratio (Kim)} = \frac{\text{Smoothie Size}}{\text{Mangos Used}} = \frac{27 \text{ oz}}{3} = 9.0 \][/tex]

3. Bri's Ratio: Smoothie size to mangos used
[tex]\[ \text{Ratio (Bri)} = \frac{\text{Smoothie Size}}{\text{Mangos Used}} = \frac{36 \text{ oz}}{4} = 9.0 \][/tex]

Step 2: Analyzing Each Statement

1. Statement 1: "The ratio of smoothie size to mangos used for Kim is the same as the ratio of smoothie size to mangos used for Angela."
- Kim's Ratio = 9.0
- Angela's Ratio = 90.0
- These ratios are not the same, so this statement is false.

2. Statement 2: "The ratio of smoothie size to mangos used for Kim is 19, and the ratio of smoothie size to mangos used for Bri is [tex]\(\frac{4}{27}\)[/tex]."
- Kim's Ratio = 9.0, not 19.
- Bri's Ratio = 9.0, not [tex]\(\frac{4}{27}\)[/tex] (4 divided by 27 is approximately 0.148).
- Both parts of this statement are incorrect, so this statement is false.

3. Statement 3: "The ratio of smoothie size to mangos used for Angela is higher than the ratio of smoothie size to mangos used for Kim."
- Angela's Ratio = 90.0
- Kim's Ratio = 9.0
- 90.0 (Angela) is indeed higher than 9.0 (Kim), so this statement is true.

4. Statement 4: "The ratio of smoothie size to mangos used for Bri is [tex]\(\frac{9}{1}\)[/tex], and the ratio of smoothie size to mangos used for Angela is [tex]\(\frac{4}{36}\)[/tex]."
- Bri's Ratio = 9.0, which is [tex]\(\frac{9}{1}\)[/tex]
- Angela's Ratio = 90.0, but [tex]\(\frac{4}{36}\)[/tex] is approximately 0.111
- Only the first part of this statement is correct, so this statement is false.

Based on the analysis:

- Correct Statement: "The ratio of smoothie size to mangos used for Angela is higher than the ratio of smoothie size to mangos used for Kim."
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