A stall was selling flowers.
13 of the earnings are from the sale of 11 daffodils and 12 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?
11 daffodils and 12 peonies |
Rest of the earnings |
Total earnings |
1x5 |
2x5 |
|
|
Roses |
Carnations |
|
|
2x2 |
3x2 |
|
5 |
4 |
6 |
15 |
Fraction of the earnings left after the sale of 11 daffodils and 12 peonies
= 1 -
13 =
23 The rest of the earnings is repeated. LCM of 2 and 5 is 10.
Cost of 1 daffodil = 1 u
Cost of 1 peony = 2 u
Cost of 11 daffodils = 11 x 1 u = 11 u
Cost of 12 peonies = 12 x 2 u = 24 u
Total cost of 11 daffodils and 12 peonies
= 11 u + 24 u
= 35 u
515 of the earnings → 35 u
115 of the earnings → 35 u ÷ 5 = 7 u
415 of the earnings → 4 x 7 u = 28 u
Number of daffodils sold that contributed to the rest of the earnings
= 28 u ÷ 1 u
= 28
615 of the earnings → 6 x 7 u = 42 u
Number of peonies sold that contributed to the rest of the earnings
= 42 u ÷ 2 u
= 21
Number of flowers sold
= 11 + 12 + 28 + 21
= 72
Answer(s): 72