A stall was selling flowers.
15 of the earnings are from the sale of 9 lilies and 15 peonies. Of the rest of the earnings,
23 are from the sale of lilies and
13 are from the sale of peonies. Each peony costs four times as much as each lily. How many flowers were sold?
9 lilies and 15 peonies |
Rest of the earnings |
Total earnings |
1x3 |
4x3 |
|
|
Roses |
Carnations |
|
|
2x4 |
1x4 |
|
3 |
8 |
4 |
15 |
Fraction of the earnings left after the sale of 9 lilies and 15 peonies
= 1 -
15 =
45 The rest of the earnings is repeated. LCM of 4 and 3 is 12.
Cost of 1 lily = 1 u
Cost of 1 peony = 4 u
Cost of 9 lilies = 9 x 1 u = 9 u
Cost of 15 peonies = 15 x 4 u = 60 u
Total cost of 9 lilies and 15 peonies
= 9 u + 60 u
= 69 u
315 of the earnings → 69 u
115 of the earnings → 69 u ÷ 3 = 23 u
815 of the earnings → 8 x 23 u = 184 u
Number of lilies sold that contributed to the rest of the earnings
= 184 u ÷ 1 u
= 184
415 of the earnings → 4 x 23 u = 92 u
Number of peonies sold that contributed to the rest of the earnings
= 92 u ÷ 4 u
= 23
Number of flowers sold
= 9 + 15 + 184 + 23
= 231
Answer(s): 231