A stall was selling flowers.
14 of the earnings are from the sale of 7 daisies and 16 poppies. Of the rest of the earnings,
35 are from the sale of daisies and
25 are from the sale of poppies. Each poppy costs thrice as much as each daisy. How many flowers were sold?
7 daisies and 16 poppies |
Rest of the earnings |
Total earnings |
1x5 |
3x5 |
|
|
Roses |
Carnations |
|
|
3x3 |
2x3 |
|
5 |
9 |
6 |
20 |
Fraction of the earnings left after the sale of 7 daisies and 16 poppies
= 1 -
14 =
34 The rest of the earnings is repeated. LCM of 3 and 5 is 15.
Cost of 1 daisy = 1 u
Cost of 1 poppy = 3 u
Cost of 7 daisies = 7 x 1 u = 7 u
Cost of 16 poppies = 16 x 3 u = 48 u
Total cost of 7 daisies and 16 poppies
= 7 u + 48 u
= 55 u
520 of the earnings → 55 u
120 of the earnings → 55 u ÷ 5 = 11 u
920 of the earnings → 9 x 11 u = 99 u
Number of daisies sold that contributed to the rest of the earnings
= 99 u ÷ 1 u
= 99
620 of the earnings → 6 x 11 u = 66 u
Number of poppies sold that contributed to the rest of the earnings
= 66 u ÷ 3 u
= 22
Number of flowers sold
= 7 + 16 + 99 + 22
= 144
Answer(s): 144