natalia53703
Answered

Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

PLEASE HELP IF YOU CAN!!! 100 POINTS
Combined, there are 182 ​Asians, Africans,​ Europeans, and Americans in a village. The number of Asians exceeds the number of Africans and Europeans by 59. The difference between the number of Europeans and Americans is 14. If the number of Africans is​doubled, their population exceeds the number of Europeans and Americans by 16. Determine the number of​ Asians, Africans,​Europeans, and Americans in this village.

PLEASE HELP IF YOU CAN 100 POINTS Combined There Are 182 Asians Africans Europeans And Americans In A Village The Number Of Asians Exceeds The Number Of African class=

Sagot :

mhanifa

Answer:

  • Asians - 114, Africans - 28,​ Europeans - 27, Americans - 13

Step-by-step explanation:

Let

  • Asians - a,
  • Africans - b,​
  • Europeans - c,
  • Americans - d

Eqautions as per question

Combined, there are 182 ​Asians, Africans,​ Europeans, and Americans in a village.

  • a + b + c + d = 182

The number of Asians exceeds the number of Africans and Europeans by 59.

  • a = b + c + 59

The difference between the number of Europeans and Americans is 14.

  • c - d = 14 ⇒ c = d + 14

If the number of Africans is​doubled, their population exceeds the number of Europeans and Americans by 16

  • 2b = c + d + 16 ⇒ 2b = d + 14 + d + 16 ⇒ 2b = 2d + 30 ⇒ b = d + 15

Substitute a, b and c into the first equation and solve for d

  • (b + c + 59) + b + c + d = 182
  • d + 15 + d + 14 + 59 + d + 15 + d + 14 + d = 182
  • 5d + 117 = 182
  • 5d = 182 - 117
  • 5d = 65
  • d = 65/5
  • d = 13

Find the other variables

  • b = 13 + 15 = 28
  • c = 13 + 14 = 27
  • a = 28 + 27 + 59 = 114

We found that

  • Asians - 114, Africans - 28,​ Europeans - 27, Americans - 13
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.