A stall was selling flowers.
14 of the earnings are from the sale of 11 orchids and 13 daisies. Of the rest of the earnings,
35 are from the sale of orchids and
25 are from the sale of daisies. Each daisy costs thrice as much as each orchid. How many flowers were sold?
11 orchids and 13 daisies |
Rest of the earnings |
Total earnings |
1x5 |
3x5 |
|
|
Roses |
Carnations |
|
|
3x3 |
2x3 |
|
5 |
9 |
6 |
20 |
Fraction of the earnings left after the sale of 11 orchids and 13 daisies
= 1 -
14 =
34 The rest of the earnings is repeated. LCM of 3 and 5 is 15.
Cost of 1 orchid = 1 u
Cost of 1 daisy = 3 u
Cost of 11 orchids = 11 x 1 u = 11 u
Cost of 13 daisies = 13 x 3 u = 39 u
Total cost of 11 orchids and 13 daisies
= 11 u + 39 u
= 50 u
520 of the earnings → 50 u
120 of the earnings → 50 u ÷ 5 = 10 u
920 of the earnings → 9 x 10 u = 90 u
Number of orchids sold that contributed to the rest of the earnings
= 90 u ÷ 1 u
= 90
620 of the earnings → 6 x 10 u = 60 u
Number of daisies sold that contributed to the rest of the earnings
= 60 u ÷ 3 u
= 20
Number of flowers sold
= 11 + 13 + 90 + 20
= 134
Answer(s): 134