A stall was selling flowers.
15 of the earnings are from the sale of 12 sunflowers and 14 poppies. Of the rest of the earnings,
35 are from the sale of sunflowers and
25 are from the sale of poppies. Each poppy costs twice as much as each sunflower. How many flowers were sold?
12 sunflowers and 14 poppies |
Rest of the earnings |
Total earnings |
1x5 |
4x5 |
|
|
Roses |
Carnations |
|
|
3x4 |
2x4 |
|
5 |
12 |
8 |
25 |
Fraction of the earnings left after the sale of 12 sunflowers and 14 poppies
= 1 -
15 =
45 The rest of the earnings is repeated. LCM of 4 and 5 is 20.
Cost of 1 sunflower = 1 u
Cost of 1 poppy = 2 u
Cost of 12 sunflowers = 12 x 1 u = 12 u
Cost of 14 poppies = 14 x 2 u = 28 u
Total cost of 12 sunflowers and 14 poppies
= 12 u + 28 u
= 40 u
525 of the earnings → 40 u
125 of the earnings → 40 u ÷ 5 = 8 u
1225 of the earnings → 12 x 8 u = 96 u
Number of sunflowers sold that contributed to the rest of the earnings
= 96 u ÷ 1 u
= 96
825 of the earnings → 8 x 8 u = 64 u
Number of poppies sold that contributed to the rest of the earnings
= 64 u ÷ 2 u
= 32
Number of flowers sold
= 12 + 14 + 96 + 32
= 154
Answer(s): 154