Question

use the data table for 16–18. 16. joan reads that the mass of an average elephant’s brain is $3\frac{4}{10}$ kilograms greater than an average man’s brain. how many kilograms is an average elephant’s brain? 17. what is the total mass of an average man’s brain and heart in kilograms (kg)? data vital organ measures average woman’s brain : $1\frac{3}{10}$ kg : $2\frac{4}{5}$ lb average man’s brain : $1\frac{2}{5}$ kg : 3 lb average human heart : $\frac{3}{10}$ kg : $\frac{7}{10}$ lb 18. what is the total weight of an average woman’s brain and heart in pounds

Explanation:

Question 16

Step1: Identify man's brain mass

From the table, average man’s brain mass is $1\frac{2}{5}$ kg. Convert to improper fraction: $1\frac{2}{5}=\frac{7}{5}$ kg.

Step2: Add the difference

Elephant’s brain mass = man’s brain mass + $3\frac{4}{10}$ kg. Convert $3\frac{4}{10}$ to $\frac{34}{10}$ and $\frac{7}{5}$ to $\frac{14}{10}$. Then $\frac{14}{10}+\frac{34}{10}=\frac{48}{10}=4\frac{8}{10}=4\frac{4}{5}$ kg.

Step1: Identify man's brain and heart mass

Man’s brain: $1\frac{2}{5}$ kg = $\frac{7}{5}$ kg; Heart: $\frac{3}{10}$ kg.

Step2: Add the masses

Convert $\frac{7}{5}$ to $\frac{14}{10}$. Then $\frac{14}{10}+\frac{3}{10}=\frac{17}{10}=1\frac{7}{10}$ kg.

Step1: Identify woman's brain and heart weight in pounds

Woman’s brain: $2\frac{4}{5}$ lb = $\frac{14}{5}$ lb; Heart: $\frac{7}{10}$ lb.

Step2: Add the weights

Convert $\frac{14}{5}$ to $\frac{28}{10}$. Then $\frac{28}{10}+\frac{7}{10}=\frac{35}{10}=3\frac{5}{10}=3\frac{1}{2}$ lb.

Answer:

$4\frac{4}{5}$ kilograms

Question 17