A stall was selling flowers.
13 of the earnings are from the sale of 8 sunflowers and 19 daffodils. Of the rest of the earnings,
25 are from the sale of sunflowers and
35 are from the sale of daffodils. Each daffodil costs thrice as much as each sunflower. How many flowers were sold?
8 sunflowers and 19 daffodils |
Rest of the earnings |
Total earnings |
1x5 |
2x5 |
|
|
Roses |
Carnations |
|
|
2x2 |
3x2 |
|
5 |
4 |
6 |
15 |
Fraction of the earnings left after the sale of 8 sunflowers and 19 daffodils
= 1 -
13 =
23 The rest of the earnings is repeated. LCM of 2 and 5 is 10.
Cost of 1 sunflower = 1 u
Cost of 1 daffodil = 3 u
Cost of 8 sunflowers = 8 x 1 u = 8 u
Cost of 19 daffodils = 19 x 3 u = 57 u
Total cost of 8 sunflowers and 19 daffodils
= 8 u + 57 u
= 65 u
515 of the earnings → 65 u
115 of the earnings → 65 u ÷ 5 = 13 u
415 of the earnings → 4 x 13 u = 52 u
Number of sunflowers sold that contributed to the rest of the earnings
= 52 u ÷ 1 u
= 52
615 of the earnings → 6 x 13 u = 78 u
Number of daffodils sold that contributed to the rest of the earnings
= 78 u ÷ 3 u
= 26
Number of flowers sold
= 8 + 19 + 52 + 26
= 105
Answer(s): 105