A stall was selling flowers.
14 of the earnings are from the sale of 12 daffodils and 14 roses. Of the rest of the earnings,
35 are from the sale of daffodils and
25 are from the sale of roses. Each rose costs twice as much as each daffodil. How many flowers were sold?
12 daffodils and 14 roses |
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 12 daffodils and 14 roses
= 1 -
14 =
34 The rest of the earnings is repeated. LCM of 3 and 5 is 15.
Cost of 1 daffodil = 1 u
Cost of 1 rose = 2 u
Cost of 12 daffodils = 12 x 1 u = 12 u
Cost of 14 roses = 14 x 2 u = 28 u
Total cost of 12 daffodils and 14 roses
= 12 u + 28 u
= 40 u
520 of the earnings → 40 u
120 of the earnings → 40 u ÷ 5 = 8 u
920 of the earnings → 9 x 8 u = 72 u
Number of daffodils sold that contributed to the rest of the earnings
= 72 u ÷ 1 u
= 72
620 of the earnings → 6 x 8 u = 48 u
Number of roses sold that contributed to the rest of the earnings
= 48 u ÷ 2 u
= 24
Number of flowers sold
= 12 + 14 + 72 + 24
= 122
Answer(s): 122