A stall was selling flowers.
13 of the earnings are from the sale of 10 sunflowers and 15 orchids. Of the rest of the earnings,
35 are from the sale of sunflowers and
25 are from the sale of orchids. Each orchid costs four times as much as each sunflower. How many flowers were sold?
10 sunflowers and 15 orchids |
Rest of the earnings |
Total earnings |
1x5 |
2x5 |
|
|
Roses |
Carnations |
|
|
3x2 |
2x2 |
|
5 |
6 |
4 |
15 |
Fraction of the earnings left after the sale of 10 sunflowers and 15 orchids
= 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 orchid = 4 u
Cost of 10 sunflowers = 10 x 1 u = 10 u
Cost of 15 orchids = 15 x 4 u = 60 u
Total cost of 10 sunflowers and 15 orchids
= 10 u + 60 u
= 70 u
515 of the earnings → 70 u
115 of the earnings → 70 u ÷ 5 = 14 u
615 of the earnings → 6 x 14 u = 84 u
Number of sunflowers sold that contributed to the rest of the earnings
= 84 u ÷ 1 u
= 84
415 of the earnings → 4 x 14 u = 56 u
Number of orchids sold that contributed to the rest of the earnings
= 56 u ÷ 4 u
= 14
Number of flowers sold
= 10 + 15 + 84 + 14
= 123
Answer(s): 123