A stall was selling flowers.
14 of the earnings are from the sale of 6 daisies and 18 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 thrice as much as each daisy. How many flowers were sold?
6 daisies and 18 lilies |
Rest of the earnings |
Total earnings |
1x4 |
3x4 |
|
|
Roses |
Carnations |
|
|
3x3 |
1x3 |
|
4 |
9 |
3 |
16 |
Fraction of the earnings left after the sale of 6 daisies and 18 lilies
= 1 -
14 =
34 The rest of the earnings is repeated. LCM of 3 and 4 is 12.
Cost of 1 daisy = 1 u
Cost of 1 lily = 3 u
Cost of 6 daisies = 6 x 1 u = 6 u
Cost of 18 lilies = 18 x 3 u = 54 u
Total cost of 6 daisies and 18 lilies
= 6 u + 54 u
= 60 u
416 of the earnings → 60 u
116 of the earnings → 60 u ÷ 4 = 15 u
916 of the earnings → 9 x 15 u = 135 u
Number of daisies sold that contributed to the rest of the earnings
= 135 u ÷ 1 u
= 135
316 of the earnings → 3 x 15 u = 45 u
Number of lilies sold that contributed to the rest of the earnings
= 45 u ÷ 3 u
= 15
Number of flowers sold
= 6 + 18 + 135 + 15
= 174
Answer(s): 174