Balls Two Colors Ratio

Peter chose balls of two colors. The numbers of yellows and reds were in the ratio of 7:5, and the yellows were six more. How many did he have?

Final Answer:

a =  21
b =  15

Step-by-step explanation:


a=7/5 b
a = 6 + b

a=7/5·b
a = 6 + b

5a-7b = 0
a-b = 6

Row 2 - 1/5 · Row 1 → Row 2
5a-7b = 0
0.4b = 6


b = 6/0.4 = 15
a = 0+7b/5 = 0+7 · 15/5 = 21

a = 21
b = 15

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