A stall was selling flowers.
15 of the earnings are from the sale of 9 poppies and 14 daisies. Of the rest of the earnings,
35 are from the sale of poppies and
25 are from the sale of daisies. Each daisy costs four times as much as each poppy. How many flowers were sold?
9 poppies and 14 daisies |
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 9 poppies and 14 daisies
= 1 -
15 =
45 The rest of the earnings is repeated. LCM of 4 and 5 is 20.
Cost of 1 poppy = 1 u
Cost of 1 daisy = 4 u
Cost of 9 poppies = 9 x 1 u = 9 u
Cost of 14 daisies = 14 x 4 u = 56 u
Total cost of 9 poppies and 14 daisies
= 9 u + 56 u
= 65 u
525 of the earnings → 65 u
125 of the earnings → 65 u ÷ 5 = 13 u
1225 of the earnings → 12 x 13 u = 156 u
Number of poppies sold that contributed to the rest of the earnings
= 156 u ÷ 1 u
= 156
825 of the earnings → 8 x 13 u = 104 u
Number of daisies sold that contributed to the rest of the earnings
= 104 u ÷ 4 u
= 26
Number of flowers sold
= 9 + 14 + 156 + 26
= 205
Answer(s): 205