A stall was selling flowers.
14 of the earnings are from the sale of 10 carnations and 11 lilies. Of the rest of the earnings,
34 are from the sale of carnations and
14 are from the sale of lilies. Each lily costs twice as much as each carnation. How many flowers were sold?
10 carnations and 11 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 10 carnations and 11 lilies
= 1 -
14 =
34 The rest of the earnings is repeated. LCM of 3 and 4 is 12.
Cost of 1 carnation = 1 u
Cost of 1 lily = 2 u
Cost of 10 carnations = 10 x 1 u = 10 u
Cost of 11 lilies = 11 x 2 u = 22 u
Total cost of 10 carnations and 11 lilies
= 10 u + 22 u
= 32 u
416 of the earnings → 32 u
116 of the earnings → 32 u ÷ 4 = 8 u
916 of the earnings → 9 x 8 u = 72 u
Number of carnations sold that contributed to the rest of the earnings
= 72 u ÷ 1 u
= 72
316 of the earnings → 3 x 8 u = 24 u
Number of lilies sold that contributed to the rest of the earnings
= 24 u ÷ 2 u
= 12
Number of flowers sold
= 10 + 11 + 72 + 12
= 105
Answer(s): 105