A stall was selling flowers.
15 of the earnings are from the sale of 5 sunflowers and 20 peonies. Of the rest of the earnings,
25 are from the sale of sunflowers and
35 are from the sale of peonies. Each peony costs four times as much as each sunflower. How many flowers were sold?
5 sunflowers and 20 peonies |
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 5 sunflowers and 20 peonies
= 1 -
15 =
45 The rest of the earnings is repeated. LCM of 4 and 5 is 20.
Cost of 1 sunflower = 1 u
Cost of 1 peony = 4 u
Cost of 5 sunflowers = 5 x 1 u = 5 u
Cost of 20 peonies = 20 x 4 u = 80 u
Total cost of 5 sunflowers and 20 peonies
= 5 u + 80 u
= 85 u
525 of the earnings → 85 u
125 of the earnings → 85 u ÷ 5 = 17 u
825 of the earnings → 8 x 17 u = 136 u
Number of sunflowers sold that contributed to the rest of the earnings
= 136 u ÷ 1 u
= 136
1225 of the earnings → 12 x 17 u = 204 u
Number of peonies sold that contributed to the rest of the earnings
= 204 u ÷ 4 u
= 51
Number of flowers sold
= 5 + 20 + 136 + 51
= 212
Answer(s): 212