Math, asked by swathiakulaas, 24 days ago

In a video game, Brian collects unbreakable gems, each of which He earns 21 points when he collects 2 red gems and 3 yellow gems. He earns 31 ponts when he collects 2 yellow gems and 3 blue gems, He earns 23 points when he collects 2 blue gems and 3 red gems .When brian collects 2 red gems, 2 yellow gems and 2 blue gems how many points did brian earn?

Answers

Answered by Johnsonmijo
1

Answer:

If the number of points Brian earns when he collects 2 red gems and 3 yellow gems is 21 and the number of points he earns when he collects 2 yellow gems and 3 blue gems are 31 and the number of points he earns when he collects 2 blue gems and 3 red gems is 23, then the number of points he earns when he collects 2red gems 2 yellow gems and 2 blue gems is 30 points

Step-by-step explanation:

Let Ler R, Y, and B be the points for red, yellow, and blue gems respectively

Given

Points Brian earns when he collects 2 red gems and 3 yellow gems = 21

That is,

2R+3Y =21

2R=21-3Y

Points he earns when he collects 2 yellow gems and 3 blue gems = 31

That is,

2Y+3B = 31

2Y= 31-3B

Points he earns when he collects 2 blue gems and 3 red gems = 23

That is,

2B+3R = 23

2B= 23-3R

We have to find

2R+2Y+2B

2R+2Y+2B = 21-3Y+31-3B + 23-3R

5R+5Y+5B = 75

R+Y+B = 75/5 = 15

So, 2(R+Y+B) = 15*2 = 30

Therefore, The number of points he earns when he collects 2red gems 2 yellow gems, and 2 blue gems is 30 points

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