Let's analyze each statement carefully based on the given data and the results:
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:
- According to the data, Angela uses 1 mango for a 90 oz smoothie.
- Kim uses 3 mangos for a 27 oz smoothie.
- The ratio for Angela is calculated as [tex]\( \frac{90}{1} = 90 \)[/tex].
- The ratio for Kim is calculated as [tex]\( \frac{27}{3} = 9 \)[/tex].
Since 90 is not equal to 9, this statement is false.
2. The ratio of smoothie size to mangos used for Kim is 1.9, and the ratio of smoothie size to mangos used for Bri is [tex]$4:27$[/tex]:
- From our results, the ratio for Kim is [tex]\( 9.0 \)[/tex] (as calculated earlier).
- The ratio for Bri is [tex]\( \frac{360}{4} = 90 \)[/tex], which is expressed in ratio format as [tex]\( 360:4 \)[/tex].
This statement is entirely false since Kim's ratio is 9.0, not 1.9, and Bri's ratio is [tex]\( 360:4 \)[/tex], not [tex]\( 4:27 \)[/tex].
3. The ratio of smoothie size to mangos used for Angela is higher than the ratio of smoothie size to mangos used for Kim:
- The ratio for Angela is 90.
- The ratio for Kim is 9.
Since 90 (Angela) is higher than 9 (Kim), this statement is correct.
4. 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]:
- The ratio for Bri is [tex]\( \frac{360}{4} = 90 \)[/tex], which can be expressed as [tex]\( 90:1 \)[/tex].
- The ratio suggested for Angela as [tex]\( 4:36 \)[/tex] is not accurate.
Therefore, this statement is false since Bri's actual ratio is [tex]\( 90:1 \)[/tex], not [tex]\( 9:1 \)[/tex], and Angela's correct ratio is not [tex]\( 4:36 \)[/tex].
Based on the analysis, the correct statement is:
The ratio of smoothie size to mangos used for Angela is higher than the ratio of smoothie size to mangos used for Kim.
