A stall was selling flowers.
14 of the earnings are from the sale of 5 peonies and 20 daffodils. Of the rest of the earnings,
35 are from the sale of peonies and
25 are from the sale of daffodils. Each daffodil costs thrice as much as each peony. How many flowers were sold?
5 peonies and 20 daffodils |
Rest of the earnings |
Total earnings |
1x5 |
3x5 |
|
|
Roses |
Carnations |
|
|
3x3 |
2x3 |
|
5 |
9 |
6 |
20 |
Fraction of the earnings left after the sale of 5 peonies and 20 daffodils
= 1 -
14 =
34 The rest of the earnings is repeated. LCM of 3 and 5 is 15.
Cost of 1 peony = 1 u
Cost of 1 daffodil = 3 u
Cost of 5 peonies = 5 x 1 u = 5 u
Cost of 20 daffodils = 20 x 3 u = 60 u
Total cost of 5 peonies and 20 daffodils
= 5 u + 60 u
= 65 u
520 of the earnings → 65 u
120 of the earnings → 65 u ÷ 5 = 13 u
920 of the earnings → 9 x 13 u = 117 u
Number of peonies sold that contributed to the rest of the earnings
= 117 u ÷ 1 u
= 117
620 of the earnings → 6 x 13 u = 78 u
Number of daffodils sold that contributed to the rest of the earnings
= 78 u ÷ 3 u
= 26
Number of flowers sold
= 5 + 20 + 117 + 26
= 168
Answer(s): 168