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5/8 of the beads in the box were red. The rest were blue beads and green beads in the ratio 3:4. There were 138 fewer green beads than red beads. How many beads were in the box in all?

 Sep 27, 2021
 #1
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3/8ths are blue or green

 

4/7   of the 3/8ths are green

 

4/7 * 3/8  x   =   5/8 * x  - 138

x = 336 beads in all

 Sep 27, 2021
 #2
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R : B+G : T = 5 : 3 : 8 = 35 : 21 : 56

 

B:G : B+G = 3 : 4 : 7 = 9 : 12 : 21

 

R:B:G:T = 35 : 9 : 12 : 56

 

R-G = 35-12 = 23

 

56×138÷23 = 336

 Sep 27, 2021
edited by Guest  Sep 27, 2021

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