A stall was selling flowers.
13 of the earnings are from the sale of 8 poppies and 14 roses. Of the rest of the earnings,
34 are from the sale of poppies and
14 are from the sale of roses. Each rose costs twice as much as each poppy. How many flowers were sold?
8 poppies and 14 roses |
Rest of the earnings |
Total earnings |
1x2 |
2x2 |
|
|
Roses |
Carnations |
|
|
3x1 |
1x1 |
|
2 |
3 |
1 |
6 |
Fraction of the earnings left after the sale of 8 poppies and 14 roses
= 1 -
13 =
23 The rest of the earnings is repeated. LCM of 2 and 4 is 4.
Cost of 1 poppy = 1 u
Cost of 1 rose = 2 u
Cost of 8 poppies = 8 x 1 u = 8 u
Cost of 14 roses = 14 x 2 u = 28 u
Total cost of 8 poppies and 14 roses
= 8 u + 28 u
= 36 u
26 of the earnings → 36 u
16 of the earnings → 36 u ÷ 2 = 18 u
36 of the earnings → 3 x 18 u = 54 u
Number of poppies sold that contributed to the rest of the earnings
= 54 u ÷ 1 u
= 54
16 of the earnings → 1 x 18 u = 18 u
Number of roses sold that contributed to the rest of the earnings
= 18 u ÷ 2 u
= 9
Number of flowers sold
= 8 + 14 + 54 + 9
= 85
Answer(s): 85