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Bert and Ernie are looking at their paper clip collections. Bert has 5 paper clips for every 3 paper clips that Ernie has. If Bert gives Ernie 12 paper clips, they will have the same number of paper clips. How many paper clips does Bert have?

Respuesta :

isaacdeyarmin95

Answer:

bert had 60 paper clips, while ernie had 36 paper clips, when bert gives ernie 12 paper clips they both have 48 paper clips.

Step-by-step explanation:

b=bert clips; e=ernie clips;

5/3b=e; b-12=e+12; therefore there would have to be a difference of 24 between them, since at the lowest bert has 2 more paper clips than ernie to get a difference of 24 you multiply both sides by 12

raphealnwobi

Bert has 60 paper clips while Ernie has 36 paper clips.

Equation

Equation is used to show the relationship between two or more numbers and variables.

Let x represent the number of Bert paper clips and y represent the number of Ernie paper clip.

Bert has 5 paper clips for every 3 paper clips that Ernie has. Hence:

  • x = (5/3)y
  • 3x - 5y = 0    (1)

Also, If Bert gives Ernie 12 paper clips, they will have the same number of paper clips. Hence:

  • x - 12 = y + 12
  • x - y = 24   (2)

From solving equation 1 and 2 simultaneously:

x = 60, y = 36

Bert has 60 paper clips while Ernie has 36 paper clips.

Find out more on equation at: https://brainly.com/question/13763238

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