A stall was selling flowers.
15 of the earnings are from the sale of 10 daffodils and 19 tulips. Of the rest of the earnings,
23 are from the sale of daffodils and
13 are from the sale of tulips. Each tulip costs twice as much as each daffodil. How many flowers were sold?
10 daffodils and 19 tulips |
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 10 daffodils and 19 tulips
= 1 -
15 =
45 The rest of the earnings is repeated. LCM of 4 and 3 is 12.
Cost of 1 daffodil = 1 u
Cost of 1 tulip = 2 u
Cost of 10 daffodils = 10 x 1 u = 10 u
Cost of 19 tulips = 19 x 2 u = 38 u
Total cost of 10 daffodils and 19 tulips
= 10 u + 38 u
= 48 u
315 of the earnings → 48 u
115 of the earnings → 48 u ÷ 3 = 16 u
815 of the earnings → 8 x 16 u = 128 u
Number of daffodils sold that contributed to the rest of the earnings
= 128 u ÷ 1 u
= 128
415 of the earnings → 4 x 16 u = 64 u
Number of tulips sold that contributed to the rest of the earnings
= 64 u ÷ 2 u
= 32
Number of flowers sold
= 10 + 19 + 128 + 32
= 189
Answer(s): 189