A stall was selling flowers.
13 of the earnings are from the sale of 8 peonies and 16 poppies. Of the rest of the earnings,
23 are from the sale of peonies and
13 are from the sale of poppies. Each poppy costs four times as much as each peony. How many flowers were sold?
8 peonies and 16 poppies |
Rest of the earnings |
Total earnings |
1x3 |
2x3 |
|
|
Roses |
Carnations |
|
|
2x2 |
1x2 |
|
3 |
4 |
2 |
9 |
Fraction of the earnings left after the sale of 8 peonies and 16 poppies
= 1 -
13 =
23 The rest of the earnings is repeated. LCM of 2 and 3 is 6.
Cost of 1 peony = 1 u
Cost of 1 poppy = 4 u
Cost of 8 peonies = 8 x 1 u = 8 u
Cost of 16 poppies = 16 x 4 u = 64 u
Total cost of 8 peonies and 16 poppies
= 8 u + 64 u
= 72 u
39 of the earnings → 72 u
19 of the earnings → 72 u ÷ 3 = 24 u
49 of the earnings → 4 x 24 u = 96 u
Number of peonies sold that contributed to the rest of the earnings
= 96 u ÷ 1 u
= 96
29 of the earnings → 2 x 24 u = 48 u
Number of poppies sold that contributed to the rest of the earnings
= 48 u ÷ 4 u
= 12
Number of flowers sold
= 8 + 16 + 96 + 12
= 132
Answer(s): 132