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Jackson had some red, blue and green t-shirts. For every 5 red t-shirts, there were 6 blue t-shirts. For every 2 blue t-shirts, there were 3 green t-shirts. He gave away 12 red t-shits and the red shirts that he had left were 1/10 the original number of t-shirts. What was the total number of t-shirts that he had left?

 May 7, 2024
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B = (6/5)R

G = (3/2)B  →  G = (3/2)(6/5)R   =  (9/5)R

 

Total  number of shirts at te beginning  =  R + B + G  = R + (6/5)R  + (9/5)R =  4R

 

So  after he gives away  12 red shirts, we have

[R -12 ]  =  (1/10) 4R

R - 12 =  (2/5)R

R - (2/5)R  = 12

(3/5)R  =12

R =12 *(5/3)  =  20

 

The total shirts  he  had when he started =  4 (20)  = 80

 

After giving away 12 red shirts  he has  80  - 12  =   68   left

 

cool cool cool

 May 7, 2024

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