A stall was selling flowers.
16 of the earnings are from the sale of 6 sunflowers and 17 poppies. Of the rest of the earnings,
34 are from the sale of sunflowers and
14 are from the sale of poppies. Each poppy costs twice as much as each sunflower. How many flowers were sold?
6 sunflowers and 17 poppies |
Rest of the earnings |
Total earnings |
1x4 |
5x4 |
|
|
Roses |
Carnations |
|
|
3x5 |
1x5 |
|
4 |
15 |
5 |
24 |
Fraction of the earnings left after the sale of 6 sunflowers and 17 poppies
= 1 -
16 =
56 The rest of the earnings is repeated. LCM of 5 and 4 is 20.
Cost of 1 sunflower = 1 u
Cost of 1 poppy = 2 u
Cost of 6 sunflowers = 6 x 1 u = 6 u
Cost of 17 poppies = 17 x 2 u = 34 u
Total cost of 6 sunflowers and 17 poppies
= 6 u + 34 u
= 40 u
424 of the earnings → 40 u
124 of the earnings → 40 u ÷ 4 = 10 u
1524 of the earnings → 15 x 10 u = 150 u
Number of sunflowers sold that contributed to the rest of the earnings
= 150 u ÷ 1 u
= 150
524 of the earnings → 5 x 10 u = 50 u
Number of poppies sold that contributed to the rest of the earnings
= 50 u ÷ 2 u
= 25
Number of flowers sold
= 6 + 17 + 150 + 25
= 198
Answer(s): 198