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?

sugabreaddoughman May 7, 2024

#1**+1 **

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

CPhill May 7, 2024