Rama has a collection of 18 red beads and 12 green beads. Uma also such a collection of red and green beads, 20 in all. The ratio of the number of beads in each color is the same for both. How many red beads does Uma have? And how many green beads?

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Solution

Total number of red beads with Rama = 18

Total number of green beads with Rama = 12

Total number of beads with Rama = 18 + 12 = 30

Ratio of red beads to the total number of beads with Rama =

= 3 : 5

Total number of beads with Uma = 20

The ratio of the number of beads of each colour is same for both Rama and Uma

∴ Total number of red beads with Uma × 20

= 3 × 4

= 12

Total number of green beads with Uma = 20 − 12 = 8

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