A stall was selling flowers.
15 of the earnings are from the sale of 10 daisies and 15 orchids. Of the rest of the earnings,
25 are from the sale of daisies and
35 are from the sale of orchids. Each orchid costs thrice as much as each daisy. How many flowers were sold?
10 daisies and 15 orchids |
Rest of the earnings |
Total earnings |
1x5 |
4x5 |
|
|
Roses |
Carnations |
|
|
2x4 |
3x4 |
|
5 |
8 |
12 |
25 |
Fraction of the earnings left after the sale of 10 daisies and 15 orchids
= 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 orchid = 3 u
Cost of 10 daisies = 10 x 1 u = 10 u
Cost of 15 orchids = 15 x 3 u = 45 u
Total cost of 10 daisies and 15 orchids
= 10 u + 45 u
= 55 u
525 of the earnings → 55 u
125 of the earnings → 55 u ÷ 5 = 11 u
825 of the earnings → 8 x 11 u = 88 u
Number of daisies sold that contributed to the rest of the earnings
= 88 u ÷ 1 u
= 88
1225 of the earnings → 12 x 11 u = 132 u
Number of orchids sold that contributed to the rest of the earnings
= 132 u ÷ 3 u
= 44
Number of flowers sold
= 10 + 15 + 88 + 44
= 157
Answer(s): 157