A stall was selling flowers.
15 of the earnings are from the sale of 12 daisies and 16 roses. Of the rest of the earnings,
35 are from the sale of daisies and
25 are from the sale of roses. Each rose costs thrice as much as each daisy. How many flowers were sold?
12 daisies and 16 roses |
Rest of the earnings |
Total earnings |
1x5 |
4x5 |
|
|
Roses |
Carnations |
|
|
3x4 |
2x4 |
|
5 |
12 |
8 |
25 |
Fraction of the earnings left after the sale of 12 daisies and 16 roses
= 1 -
15 =
45 The rest of the earnings is repeated. LCM of 4 and 5 is 20.
Cost of 1 daisy = 1 u
Cost of 1 rose = 3 u
Cost of 12 daisies = 12 x 1 u = 12 u
Cost of 16 roses = 16 x 3 u = 48 u
Total cost of 12 daisies and 16 roses
= 12 u + 48 u
= 60 u
525 of the earnings → 60 u
125 of the earnings → 60 u ÷ 5 = 12 u
1225 of the earnings → 12 x 12 u = 144 u
Number of daisies sold that contributed to the rest of the earnings
= 144 u ÷ 1 u
= 144
825 of the earnings → 8 x 12 u = 96 u
Number of roses sold that contributed to the rest of the earnings
= 96 u ÷ 3 u
= 32
Number of flowers sold
= 12 + 16 + 144 + 32
= 204
Answer(s): 204