A stall was selling flowers.
16 of the earnings are from the sale of 12 daffodils and 18 roses. Of the rest of the earnings,
23 are from the sale of daffodils and
13 are from the sale of roses. Each rose costs four times as much as each daffodil. How many flowers were sold?
12 daffodils and 18 roses |
Rest of the earnings |
Total earnings |
1x3 |
5x3 |
|
|
Roses |
Carnations |
|
|
2x5 |
1x5 |
|
3 |
10 |
5 |
18 |
Fraction of the earnings left after the sale of 12 daffodils and 18 roses
= 1 -
16 =
56 The rest of the earnings is repeated. LCM of 5 and 3 is 15.
Cost of 1 daffodil = 1 u
Cost of 1 rose = 4 u
Cost of 12 daffodils = 12 x 1 u = 12 u
Cost of 18 roses = 18 x 4 u = 72 u
Total cost of 12 daffodils and 18 roses
= 12 u + 72 u
= 84 u
318 of the earnings → 84 u
118 of the earnings → 84 u ÷ 3 = 28 u
1018 of the earnings → 10 x 28 u = 280 u
Number of daffodils sold that contributed to the rest of the earnings
= 280 u ÷ 1 u
= 280
518 of the earnings → 5 x 28 u = 140 u
Number of roses sold that contributed to the rest of the earnings
= 140 u ÷ 4 u
= 35
Number of flowers sold
= 12 + 18 + 280 + 35
= 345
Answer(s): 345