A stall was selling flowers.
15 of the earnings are from the sale of 8 peonies and 18 poppies. Of the rest of the earnings,
25 are from the sale of peonies and
35 are from the sale of poppies. Each poppy costs four times as much as each peony. How many flowers were sold?
8 peonies and 18 poppies |
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 8 peonies and 18 poppies
= 1 -
15 =
45 The rest of the earnings is repeated. LCM of 4 and 5 is 20.
Cost of 1 peony = 1 u
Cost of 1 poppy = 4 u
Cost of 8 peonies = 8 x 1 u = 8 u
Cost of 18 poppies = 18 x 4 u = 72 u
Total cost of 8 peonies and 18 poppies
= 8 u + 72 u
= 80 u
525 of the earnings → 80 u
125 of the earnings → 80 u ÷ 5 = 16 u
825 of the earnings → 8 x 16 u = 128 u
Number of peonies sold that contributed to the rest of the earnings
= 128 u ÷ 1 u
= 128
1225 of the earnings → 12 x 16 u = 192 u
Number of poppies sold that contributed to the rest of the earnings
= 192 u ÷ 4 u
= 48
Number of flowers sold
= 8 + 18 + 128 + 48
= 202
Answer(s): 202