A stall was selling flowers.
16 of the earnings are from the sale of 8 roses and 18 daffodils. Of the rest of the earnings,
34 are from the sale of roses and
14 are from the sale of daffodils. Each daffodil costs four times as much as each rose. How many flowers were sold?
8 roses and 18 daffodils |
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 8 roses and 18 daffodils
= 1 -
16 =
56 The rest of the earnings is repeated. LCM of 5 and 4 is 20.
Cost of 1 rose = 1 u
Cost of 1 daffodil = 4 u
Cost of 8 roses = 8 x 1 u = 8 u
Cost of 18 daffodils = 18 x 4 u = 72 u
Total cost of 8 roses and 18 daffodils
= 8 u + 72 u
= 80 u
424 of the earnings → 80 u
124 of the earnings → 80 u ÷ 4 = 20 u
1524 of the earnings → 15 x 20 u = 300 u
Number of roses sold that contributed to the rest of the earnings
= 300 u ÷ 1 u
= 300
524 of the earnings → 5 x 20 u = 100 u
Number of daffodils sold that contributed to the rest of the earnings
= 100 u ÷ 4 u
= 25
Number of flowers sold
= 8 + 18 + 300 + 25
= 351
Answer(s): 351