A stall was selling flowers.
13 of the earnings are from the sale of 11 sunflowers and 18 roses. Of the rest of the earnings,
25 are from the sale of sunflowers and
35 are from the sale of roses. Each rose costs thrice as much as each sunflower. How many flowers were sold?
11 sunflowers and 18 roses |
Rest of the earnings |
Total earnings |
1x5 |
2x5 |
|
|
Roses |
Carnations |
|
|
2x2 |
3x2 |
|
5 |
4 |
6 |
15 |
Fraction of the earnings left after the sale of 11 sunflowers and 18 roses
= 1 -
13 =
23 The rest of the earnings is repeated. LCM of 2 and 5 is 10.
Cost of 1 sunflower = 1 u
Cost of 1 rose = 3 u
Cost of 11 sunflowers = 11 x 1 u = 11 u
Cost of 18 roses = 18 x 3 u = 54 u
Total cost of 11 sunflowers and 18 roses
= 11 u + 54 u
= 65 u
515 of the earnings → 65 u
115 of the earnings → 65 u ÷ 5 = 13 u
415 of the earnings → 4 x 13 u = 52 u
Number of sunflowers sold that contributed to the rest of the earnings
= 52 u ÷ 1 u
= 52
615 of the earnings → 6 x 13 u = 78 u
Number of roses sold that contributed to the rest of the earnings
= 78 u ÷ 3 u
= 26
Number of flowers sold
= 11 + 18 + 52 + 26
= 107
Answer(s): 107