A stall was selling flowers.
15 of the earnings are from the sale of 10 daffodils and 20 peonies. Of the rest of the earnings,
25 are from the sale of daffodils and
35 are from the sale of peonies. Each peony costs twice as much as each daffodil. How many flowers were sold?
10 daffodils and 20 peonies |
Rest of the earnings |
Total earnings |
1x5 |
4x5 |
|
|
Roses |
Carnations |
|
|
2x4 |
3x4 |
|
5 |
8 |
12 |
25 |
Fraction of the earnings left after the sale of 10 daffodils and 20 peonies
= 1 -
15 =
45 The rest of the earnings is repeated. LCM of 4 and 5 is 20.
Cost of 1 daffodil = 1 u
Cost of 1 peony = 2 u
Cost of 10 daffodils = 10 x 1 u = 10 u
Cost of 20 peonies = 20 x 2 u = 40 u
Total cost of 10 daffodils and 20 peonies
= 10 u + 40 u
= 50 u
525 of the earnings → 50 u
125 of the earnings → 50 u ÷ 5 = 10 u
825 of the earnings → 8 x 10 u = 80 u
Number of daffodils sold that contributed to the rest of the earnings
= 80 u ÷ 1 u
= 80
1225 of the earnings → 12 x 10 u = 120 u
Number of peonies sold that contributed to the rest of the earnings
= 120 u ÷ 2 u
= 60
Number of flowers sold
= 10 + 20 + 80 + 60
= 170
Answer(s): 170