A stall was selling flowers.
15 of the earnings are from the sale of 9 carnations and 12 lilies. Of the rest of the earnings,
23 are from the sale of carnations and
13 are from the sale of lilies. Each lily costs thrice as much as each carnation. How many flowers were sold?
9 carnations and 12 lilies |
Rest of the earnings |
Total earnings |
1x3 |
4x3 |
|
|
Roses |
Carnations |
|
|
2x4 |
1x4 |
|
3 |
8 |
4 |
15 |
Fraction of the earnings left after the sale of 9 carnations and 12 lilies
= 1 -
15 =
45 The rest of the earnings is repeated. LCM of 4 and 3 is 12.
Cost of 1 carnation = 1 u
Cost of 1 lily = 3 u
Cost of 9 carnations = 9 x 1 u = 9 u
Cost of 12 lilies = 12 x 3 u = 36 u
Total cost of 9 carnations and 12 lilies
= 9 u + 36 u
= 45 u
315 of the earnings → 45 u
115 of the earnings → 45 u ÷ 3 = 15 u
815 of the earnings → 8 x 15 u = 120 u
Number of carnations sold that contributed to the rest of the earnings
= 120 u ÷ 1 u
= 120
415 of the earnings → 4 x 15 u = 60 u
Number of lilies sold that contributed to the rest of the earnings
= 60 u ÷ 3 u
= 20
Number of flowers sold
= 9 + 12 + 120 + 20
= 161
Answer(s): 161