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Flowers sold

40% of orchids sold → 2/5 of orchids sold
1/5 of tulips solid
25% of roses sold → 1/4 of roses sold

orchids : tulips

3 units : 5 units
15 units : 25 units

After 2/5 of orchids (-6 units of orchids) and 1/5 of tulips (-5 units of tulips) were sold, the ratio becomes:

9 units : 20 units

Since we can’t compare the roses directly with the other flowers, we will use parts instead to represent the roses.

Summarising the above steps into a table, we get:

  Orchids & Tulips Roses Total
Before (15 + 25) units 4 parts 3616
Change – 11 units – 1 part – 972
After (9 + 20) units 3 parts 2644

Making the parts in the Before and After rows the same:

  Orchids & Tulips Roses Total
Before 120 units 12 parts 10,848
After 116 units 12 parts 10,576

4 units = 272
1 unit = 68
15 units = 68 x 15 = 1020 orchids

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Thank you Adwin!

How did you obtain 15 units : 25 units?

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@ JNS3006

The original ratio of Orchids to Tulips was 5 : 3. I multiplied all sides by 5 to get 25 : 15.

The reason I did that was because it would be easier to take away 2/5 (40%) of the orchids and 1/5 of the tulips.

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