A stall was selling flowers.
13 of the earnings are from the sale of 8 poppies and 14 tulips. Of the rest of the earnings,
23 are from the sale of poppies and
13 are from the sale of tulips. Each tulip costs twice as much as each poppy. How many flowers were sold?
8 poppies and 14 tulips |
Rest of the earnings |
Total earnings |
1x3 |
2x3 |
|
|
Roses |
Carnations |
|
|
2x2 |
1x2 |
|
3 |
4 |
2 |
9 |
Fraction of the earnings left after the sale of 8 poppies and 14 tulips
= 1 -
13 =
23 The rest of the earnings is repeated. LCM of 2 and 3 is 6.
Cost of 1 poppy = 1 u
Cost of 1 tulip = 2 u
Cost of 8 poppies = 8 x 1 u = 8 u
Cost of 14 tulips = 14 x 2 u = 28 u
Total cost of 8 poppies and 14 tulips
= 8 u + 28 u
= 36 u
39 of the earnings → 36 u
19 of the earnings → 36 u ÷ 3 = 12 u
49 of the earnings → 4 x 12 u = 48 u
Number of poppies sold that contributed to the rest of the earnings
= 48 u ÷ 1 u
= 48
29 of the earnings → 2 x 12 u = 24 u
Number of tulips sold that contributed to the rest of the earnings
= 24 u ÷ 2 u
= 12
Number of flowers sold
= 8 + 14 + 48 + 12
= 82
Answer(s): 82