A stall was selling flowers.
15 of the earnings are from the sale of 5 poppies and 10 marigolds. Of the rest of the earnings,
25 are from the sale of poppies and
35 are from the sale of marigolds. Each marigold costs thrice as much as each poppy. How many flowers were sold?
5 poppies and 10 marigolds |
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 5 poppies and 10 marigolds
= 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 marigold = 3 u
Cost of 5 poppies = 5 x 1 u = 5 u
Cost of 10 marigolds = 10 x 3 u = 30 u
Total cost of 5 poppies and 10 marigolds
= 5 u + 30 u
= 35 u
525 of the earnings → 35 u
125 of the earnings → 35 u ÷ 5 = 7 u
825 of the earnings → 8 x 7 u = 56 u
Number of poppies sold that contributed to the rest of the earnings
= 56 u ÷ 1 u
= 56
1225 of the earnings → 12 x 7 u = 84 u
Number of marigolds sold that contributed to the rest of the earnings
= 84 u ÷ 3 u
= 28
Number of flowers sold
= 5 + 10 + 56 + 28
= 99
Answer(s): 99