Combined, there are 177 ​Asians, Africans,​ Europeans, and Americans in a village. The number of Asians exceeds the number of Africans and Europeans by 72. The difference between the number of Europeans and Americans is 13. If the number of Africans is​ doubled, their population exceeds the number of Europeans and Americans by 31. Determine the number of​ Asians, Africans,​ Europeans, and Americans in this village.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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1. The nutritional content per ounce of three foods is presented in the table below. If a meal consisting of the three foods allows exactly 4000 ​calories, 160grams of​ protein, and 3000milligrams of vitamin​ C, how many ounces of each kind of food should be​ used?

foo

 

 

 

 

Calories

 

Protein

 

​(in grams)

 

Vitamin C

 

​(in milligrams)

 

Food A

 

100

 

8

 

150

 

Food B

 

200

 

10

 

350

 

Food C

 

500

 

14

 

100

 

Food A =

Food B =

Food C =

 

(2). Combined, there are 177 ​Asians, Africans,​ Europeans, and Americans in a village. The number of Asians exceeds the number of Africans and Europeans by 72. The difference between the number of Europeans and Americans is

13. If the number of Africans is​ doubled, their population exceeds the number of Europeans and Americans by

31. Determine the number of​ Asians, Africans,​ Europeans, and Americans in this village.

 

Part 1

 

There are

-----

​Asians,

------

​Africans,

-------

​Europeans, and

-------

Americans in the village.

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