A stall was selling flowers.
16 of the earnings are from the sale of 9 roses and 17 peonies. Of the rest of the earnings,
34 are from the sale of roses and
14 are from the sale of peonies. Each peony costs thrice as much as each rose. How many flowers were sold?
9 roses and 17 peonies |
Rest of the earnings |
Total earnings |
1x4 |
5x4 |
|
|
Roses |
Carnations |
|
|
3x5 |
1x5 |
|
4 |
15 |
5 |
24 |
Fraction of the earnings left after the sale of 9 roses and 17 peonies
= 1 -
16 =
56 The rest of the earnings is repeated. LCM of 5 and 4 is 20.
Cost of 1 rose = 1 u
Cost of 1 peony = 3 u
Cost of 9 roses = 9 x 1 u = 9 u
Cost of 17 peonies = 17 x 3 u = 51 u
Total cost of 9 roses and 17 peonies
= 9 u + 51 u
= 60 u
424 of the earnings → 60 u
124 of the earnings → 60 u ÷ 4 = 15 u
1524 of the earnings → 15 x 15 u = 225 u
Number of roses sold that contributed to the rest of the earnings
= 225 u ÷ 1 u
= 225
524 of the earnings → 5 x 15 u = 75 u
Number of peonies sold that contributed to the rest of the earnings
= 75 u ÷ 3 u
= 25
Number of flowers sold
= 9 + 17 + 225 + 25
= 276
Answer(s): 276