A stall was selling flowers.
13 of the earnings are from the sale of 12 daisies and 14 lilies. Of the rest of the earnings,
34 are from the sale of daisies and
14 are from the sale of lilies. Each lily costs twice as much as each daisy. How many flowers were sold?
12 daisies and 14 lilies |
Rest of the earnings |
Total earnings |
1x2 |
2x2 |
|
|
Roses |
Carnations |
|
|
3x1 |
1x1 |
|
2 |
3 |
1 |
6 |
Fraction of the earnings left after the sale of 12 daisies and 14 lilies
= 1 -
13 =
23 The rest of the earnings is repeated. LCM of 2 and 4 is 4.
Cost of 1 daisy = 1 u
Cost of 1 lily = 2 u
Cost of 12 daisies = 12 x 1 u = 12 u
Cost of 14 lilies = 14 x 2 u = 28 u
Total cost of 12 daisies and 14 lilies
= 12 u + 28 u
= 40 u
26 of the earnings → 40 u
16 of the earnings → 40 u ÷ 2 = 20 u
36 of the earnings → 3 x 20 u = 60 u
Number of daisies sold that contributed to the rest of the earnings
= 60 u ÷ 1 u
= 60
16 of the earnings → 1 x 20 u = 20 u
Number of lilies sold that contributed to the rest of the earnings
= 20 u ÷ 2 u
= 10
Number of flowers sold
= 12 + 14 + 60 + 10
= 96
Answer(s): 96