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The ratio of Tony's marbles to Putin's marbles was 5:3 respectively. Some of Tony's marbles were blue and the rest red. Some of Putin's marbles were purple and the rest were yellow. The ratio of the number of blue marbles to the number of purple marbles was 7:3. The ratio of the number of red marbles to the number of yellow marbles was 3:2. What was the ratio of the number of purple marbles to the number of yellow marbles?

 Aug 6, 2022
 #1
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Purple / Yellow == 3 / 2

 Aug 6, 2022
 #2
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7a + 3b = 25

3a + 2b = 15

a = 1, b = 6

p:y = 3:6 = 1:2 marbles

 Aug 7, 2022
 #3
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B==Blue, R==Red, P==Purple, Y==Yellow


[B + R] ==5,
[P + Y]==3,
B / P ==7 / 3,
R / Y ==3 / 2, solve for B, R, P, Y


B=7/5, R=18/5, P=3/5, Y=12/5


Therefore: P / Y ==(3/5) / (12/5)
                           ==(3/5) x (5/12)
               P / Y     == 15 / 60 ==1 / 4. OR: 

P : Y == 1 : 4

 Aug 7, 2022
edited by Guest  Aug 7, 2022

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