Question

6th grade math! please answer :(

Kim and her friends watched the server making smoothies. The table shows the number of mangos that were used for each of the different sizes of smoothies that the friends ordered.


Mangos Used Smoothie Size
Angela 1 9 oz
Kim 3 27 oz
Bri 4 36 oz


Which statement is correct based on the data?
The ratio of smoothie size to mangos used for Kim is the same as the ratio of smoothie size to mangos used for Angela.
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 4:27.
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 of smoothie size to mangos used for Bri is 9:1, and the ratio of smoothie size to mangos used for Angela is 4:36.

Answer 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.”

Step-by-step explanation:

Let’s calculate the ratio of smoothie size to mangos used for each person:

For Angela, the ratio is 1 mango9 oz​=9:1

For Kim, the ratio is 3 mangos27 oz​=9:1

For Bri, the ratio is 4 mangos36 oz​=9:1

So, the correct statement based on the data is: “The ratio of smoothie size to mangos used for Kim is the same as the ratio of smoothie size to mangos used for Angela.” This is because all the ratios are the same (9:1). The other statements are incorrect.

Answer 2

The correct statement is that the ratio of smoothie size to mangos used for Kim is the same as the ratio of smoothie size to mangos used for Angela, both being 9:1.

Step-by-step explanation:

Based on the data provided regarding smoothie size and mangos used, we can determine the correct statement.

• Angela used 1 mango for a 9 oz smoothie.
• Kim used 3 mangos for a 27 oz smoothie.
• Bri used 4 mangos for a 36 oz smoothie.

To determine the ratio of smoothie sizes to mangos used, we divide the smoothie size by the number of mangos used.

For Angela, this is 9 oz/1 mango, which simplifies to 9:1.

For Kim, it is 27 oz/3 mangos, which also simplifies to 9:1.

Hence, the ratio of smoothie size to mangos used for Kim is the same as the ratio of smoothie size to mangos used for Angela.

The other statements about the ratios do not match the information given in the data.