A stall was selling flowers.
15 of the earnings are from the sale of 8 carnations and 19 daffodils. Of the rest of the earnings,
25 are from the sale of carnations and
35 are from the sale of daffodils. Each daffodil costs thrice as much as each carnation. How many flowers were sold?
8 carnations and 19 daffodils |
Rest of the earnings |
Total earnings |
1x5 |
4x5 |
|
|
Roses |
Carnations |
|
|
2x4 |
3x4 |
|
5 |
8 |
12 |
25 |
Fraction of the earnings left after the sale of 8 carnations and 19 daffodils
= 1 -
15 =
45 The rest of the earnings is repeated. LCM of 4 and 5 is 20.
Cost of 1 carnation = 1 u
Cost of 1 daffodil = 3 u
Cost of 8 carnations = 8 x 1 u = 8 u
Cost of 19 daffodils = 19 x 3 u = 57 u
Total cost of 8 carnations and 19 daffodils
= 8 u + 57 u
= 65 u
525 of the earnings → 65 u
125 of the earnings → 65 u ÷ 5 = 13 u
825 of the earnings → 8 x 13 u = 104 u
Number of carnations sold that contributed to the rest of the earnings
= 104 u ÷ 1 u
= 104
1225 of the earnings → 12 x 13 u = 156 u
Number of daffodils sold that contributed to the rest of the earnings
= 156 u ÷ 3 u
= 52
Number of flowers sold
= 8 + 19 + 104 + 52
= 183
Answer(s): 183