A stall was selling flowers.
15 of the earnings are from the sale of 8 roses and 11 poppies. Of the rest of the earnings,
25 are from the sale of roses and
35 are from the sale of poppies. Each poppy costs twice as much as each rose. How many flowers were sold?
8 roses and 11 poppies |
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 8 roses and 11 poppies
= 1 -
15 =
45 The rest of the earnings is repeated. LCM of 4 and 5 is 20.
Cost of 1 rose = 1 u
Cost of 1 poppy = 2 u
Cost of 8 roses = 8 x 1 u = 8 u
Cost of 11 poppies = 11 x 2 u = 22 u
Total cost of 8 roses and 11 poppies
= 8 u + 22 u
= 30 u
525 of the earnings → 30 u
125 of the earnings → 30 u ÷ 5 = 6 u
825 of the earnings → 8 x 6 u = 48 u
Number of roses sold that contributed to the rest of the earnings
= 48 u ÷ 1 u
= 48
1225 of the earnings → 12 x 6 u = 72 u
Number of poppies sold that contributed to the rest of the earnings
= 72 u ÷ 2 u
= 36
Number of flowers sold
= 8 + 11 + 48 + 36
= 103
Answer(s): 103