A stall was selling flowers.
16 of the earnings are from the sale of 6 daffodils and 17 lavenders. Of the rest of the earnings,
34 are from the sale of daffodils and
14 are from the sale of lavenders. Each lavender costs twice as much as each daffodil. How many flowers were sold?
6 daffodils and 17 lavenders |
Rest of the earnings |
Total earnings |
1x4 |
5x4 |
|
|
Roses |
Carnations |
|
|
3x5 |
1x5 |
|
4 |
15 |
5 |
24 |
Fraction of the earnings left after the sale of 6 daffodils and 17 lavenders
= 1 -
16 =
56 The rest of the earnings is repeated. LCM of 5 and 4 is 20.
Cost of 1 daffodil = 1 u
Cost of 1 lavender = 2 u
Cost of 6 daffodils = 6 x 1 u = 6 u
Cost of 17 lavenders = 17 x 2 u = 34 u
Total cost of 6 daffodils and 17 lavenders
= 6 u + 34 u
= 40 u
424 of the earnings → 40 u
124 of the earnings → 40 u ÷ 4 = 10 u
1524 of the earnings → 15 x 10 u = 150 u
Number of daffodils sold that contributed to the rest of the earnings
= 150 u ÷ 1 u
= 150
524 of the earnings → 5 x 10 u = 50 u
Number of lavenders sold that contributed to the rest of the earnings
= 50 u ÷ 2 u
= 25
Number of flowers sold
= 6 + 17 + 150 + 25
= 198
Answer(s): 198