April, Betty, Carmen and Donna are running in a race. April is winning. Carmen is 12 meters behind April. Betty is 2 meters ahead of Carmen. Donna is 14 meters behind April. How many meters ahead of Donna is Betty?

Respuesta :

4

4 meters because Betty is 10 meters behind April. Donna (14 meters behind April) - Betty (10 meters behind April) = Betty (4 meters ahead of Donna).

Answer:  4 meters

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Explanation:

Draw out a number line. Denote the runners as A,B,C,D.

  • A = April
  • B = Betty
  • C = Carmen
  • D = Donna

Point A can be placed anywhere on the number line. Let's say point A is at 100 on the number line.

Exactly 12 meters to the left, or behind, this value is 100-12 = 88 which is where we'll place point C. Betty is 2 meters ahead of Carmen, telling us that point B is at 90 on the number line.

Donna will be placed at 86 because 100-14 = 86.

To summarize the locations on the number line

  • A = 100
  • B = 90
  • C = 88
  • D = 86

Lastly, we subtract the values of D and B to find the distance from Donna to Betty

B-D = 90-86 = 4

Betty is 4 meters ahead of Donna