A stall was selling flowers.
15 of the earnings are from the sale of 7 poppies and 11 roses. Of the rest of the earnings,
25 are from the sale of poppies and
35 are from the sale of roses. Each rose costs thrice as much as each poppy. How many flowers were sold?
7 poppies and 11 roses |
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 7 poppies and 11 roses
= 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 rose = 3 u
Cost of 7 poppies = 7 x 1 u = 7 u
Cost of 11 roses = 11 x 3 u = 33 u
Total cost of 7 poppies and 11 roses
= 7 u + 33 u
= 40 u
525 of the earnings → 40 u
125 of the earnings → 40 u ÷ 5 = 8 u
825 of the earnings → 8 x 8 u = 64 u
Number of poppies sold that contributed to the rest of the earnings
= 64 u ÷ 1 u
= 64
1225 of the earnings → 12 x 8 u = 96 u
Number of roses sold that contributed to the rest of the earnings
= 96 u ÷ 3 u
= 32
Number of flowers sold
= 7 + 11 + 64 + 32
= 114
Answer(s): 114