A stall was selling flowers.
15 of the earnings are from the sale of 9 daffodils and 17 tulips. Of the rest of the earnings,
35 are from the sale of daffodils and
25 are from the sale of tulips. Each tulip costs thrice as much as each daffodil. How many flowers were sold?
9 daffodils and 17 tulips |
Rest of the earnings |
Total earnings |
1x5 |
4x5 |
|
|
Roses |
Carnations |
|
|
3x4 |
2x4 |
|
5 |
12 |
8 |
25 |
Fraction of the earnings left after the sale of 9 daffodils and 17 tulips
= 1 -
15 =
45 The rest of the earnings is repeated. LCM of 4 and 5 is 20.
Cost of 1 daffodil = 1 u
Cost of 1 tulip = 3 u
Cost of 9 daffodils = 9 x 1 u = 9 u
Cost of 17 tulips = 17 x 3 u = 51 u
Total cost of 9 daffodils and 17 tulips
= 9 u + 51 u
= 60 u
525 of the earnings → 60 u
125 of the earnings → 60 u ÷ 5 = 12 u
1225 of the earnings → 12 x 12 u = 144 u
Number of daffodils sold that contributed to the rest of the earnings
= 144 u ÷ 1 u
= 144
825 of the earnings → 8 x 12 u = 96 u
Number of tulips sold that contributed to the rest of the earnings
= 96 u ÷ 3 u
= 32
Number of flowers sold
= 9 + 17 + 144 + 32
= 202
Answer(s): 202