A stall was selling flowers.
13 of the earnings are from the sale of 12 sunflowers and 18 poppies. Of the rest of the earnings,
23 are from the sale of sunflowers and
13 are from the sale of poppies. Each poppy costs four times as much as each sunflower. How many flowers were sold?
12 sunflowers and
18 poppies |
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 12 sunflowers and 18 poppies
= 1 -
13 =
23 The rest of the earnings is repeated. LCM of 2 and 3 is 6.
Cost of 1 sunflower = 1 u
Cost of 1 poppy = 4 u
Cost of 12 sunflowers = 12 x 1 u = 12 u
Cost of 18 poppies = 18 x 4 u = 72 u
Total cost of 12 sunflowers and 18 poppies
= 12 u + 72 u
= 84 u
39 of the earnings → 84 u
19 of the earnings → 84 u ÷ 3 = 28 u
49 of the earnings → 4 x 28 u = 112 u
Number of sunflowers sold that contributed to the rest of the earnings
= 112 u ÷ 1 u
= 112
29 of the earnings → 2 x 28 u = 56 u
Number of poppies sold that contributed to the rest of the earnings
= 56 u ÷ 4 u
= 14
Number of flowers sold
= 12 + 18 + 112 + 14
= 156
Answer(s): 156
