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primary 6 | Maths | Ratio
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Doyeon
Doyeon

primary 6 chevron_right Maths chevron_right Ratio chevron_right Singapore

Alice has a bottle of red, pink and white beads. The ratio of the number of red beads to the number of pink beads is 4:3 The ratio of the number of pink beads to the number of white beads is 2 : 5. If Alice has a total of 92 red and white beads, how many pink beads are there?

Date Posted: 3 years ago
Views: 749

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Repeated Identity

Make the units the same for pink in both ratios

Red : Pink = 4 : 3 = 8 : 6
Pink : White = 2 : 5 = 6 : 15

So Red : Pink : White = 8 : 6 : 15

Red + White → 8 units + 15 units = 23 units

So 23 units = 92 beads

1 unit = 92 beads ÷ 23 = 4 beads

Number of pink beads
→ 6 units = 6 x 4
= 24
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