Chapter 1.1, Problem 3GP

(a)

To determine

What was the total number of calories he burned this week doing these activities.

Answer to Problem 3GP

1752 calories

Explanation of Solution

GIVEN:

This week, Aiden hiked for 3 hours and bowled for 2 hours.

Calories burned per hour:

Activity	Calories
Bowling	219
Hiking	438
Inline skating	548
Walking	314

In order find what was the total number of calories he burned this week doing these activities, using the given table first multiply the number of calories burned in one hour of hiking by 3, then multiply the number of calories burned in one hour bowling by 2 and then add the products, to simplify further as shown below:

  $\begin{array}{l}\text{hiking }=438\\ 438\times 3=1314\text{calories}\\ \text{bowling }=219\\ 219\times 2=438\text{calories}\\ \text{hiking + bowling}\\ \text{=1314+438}\\ \text{1752 calories}\end{array}$

So, Aiden burned 1752 calories.

(b)

To determine

How many more calories did celia burn than macro.

Answer to Problem 3GP

66 calories

Explanation of Solution

GIVEN:

Celia walked for 3 hours and Macro bowled for 4 hours.

Calories burned per hour:

Activity	Calories
Bowling	219
Hiking	438
Inline skating	548
Walking	314

In order to find how many more calories did celia burn than macro, using the given table to find the calories burned by celia multiply the number of calories burned in one hour of walking by 3, to find the calories burned by macro, multiply the number of calories burned in one hour of bowling by 4. subtract the number of calories burned by macro from the number of calories burned by celia, to simplify further as shown below:

  $\begin{array}{l}\text{for celia}\\ \text{(3}\times \text{314)}=942\\ \text{for macro }\\ \text{(4}\times 219\text{)}=876\\ 942-876=66\end{array}$

So, Celia burned 66 Calories more than Macro.