A stall was selling flowers.
15 of the earnings are from the sale of 10 lilies and 20 sunflowers. Of the rest of the earnings,
25 are from the sale of lilies and
35 are from the sale of sunflowers. Each sunflower costs twice as much as each lily. How many flowers were sold?
10 lilies and 20 sunflowers |
Rest of the earnings |
Total earnings |
1x5 |
4x5 |
|
|
Roses |
Carnations |
|
|
2x4 |
3x4 |
|
5 |
8 |
12 |
25 |
Fraction of the earnings left after the sale of 10 lilies and 20 sunflowers
= 1 -
15 =
45 The rest of the earnings is repeated. LCM of 4 and 5 is 20.
Cost of 1 lily = 1 u
Cost of 1 sunflower = 2 u
Cost of 10 lilies = 10 x 1 u = 10 u
Cost of 20 sunflowers = 20 x 2 u = 40 u
Total cost of 10 lilies and 20 sunflowers
= 10 u + 40 u
= 50 u
525 of the earnings → 50 u
125 of the earnings → 50 u ÷ 5 = 10 u
825 of the earnings → 8 x 10 u = 80 u
Number of lilies sold that contributed to the rest of the earnings
= 80 u ÷ 1 u
= 80
1225 of the earnings → 12 x 10 u = 120 u
Number of sunflowers sold that contributed to the rest of the earnings
= 120 u ÷ 2 u
= 60
Number of flowers sold
= 10 + 20 + 80 + 60
= 170
Answer(s): 170