A stall was selling flowers.
13 of the earnings are from the sale of 10 daisies and 13 daffodils. Of the rest of the earnings,
23 are from the sale of daisies and
13 are from the sale of daffodils. Each daffodil costs twice as much as each daisy. How many flowers were sold?
10 daisies and 13 daffodils |
Rest of the earnings |
Total earnings |
1x3 |
2x3 |
|
|
Roses |
Carnations |
|
|
2x2 |
1x2 |
|
3 |
4 |
2 |
9 |
Fraction of the earnings left after the sale of 10 daisies and 13 daffodils
= 1 -
13 =
23 The rest of the earnings is repeated. LCM of 2 and 3 is 6.
Cost of 1 daisy = 1 u
Cost of 1 daffodil = 2 u
Cost of 10 daisies = 10 x 1 u = 10 u
Cost of 13 daffodils = 13 x 2 u = 26 u
Total cost of 10 daisies and 13 daffodils
= 10 u + 26 u
= 36 u
39 of the earnings → 36 u
19 of the earnings → 36 u ÷ 3 = 12 u
49 of the earnings → 4 x 12 u = 48 u
Number of daisies sold that contributed to the rest of the earnings
= 48 u ÷ 1 u
= 48
29 of the earnings → 2 x 12 u = 24 u
Number of daffodils sold that contributed to the rest of the earnings
= 24 u ÷ 2 u
= 12
Number of flowers sold
= 10 + 13 + 48 + 12
= 83
Answer(s): 83