A stall was selling flowers.
14 of the earnings are from the sale of 7 roses and 15 daffodils. Of the rest of the earnings,
34 are from the sale of roses and
14 are from the sale of daffodils. Each daffodil costs thrice as much as each rose. How many flowers were sold?
7 roses and 15 daffodils |
Rest of the earnings |
Total earnings |
1x4 |
3x4 |
|
|
Roses |
Carnations |
|
|
3x3 |
1x3 |
|
4 |
9 |
3 |
16 |
Fraction of the earnings left after the sale of 7 roses and 15 daffodils
= 1 -
14 =
34 The rest of the earnings is repeated. LCM of 3 and 4 is 12.
Cost of 1 rose = 1 u
Cost of 1 daffodil = 3 u
Cost of 7 roses = 7 x 1 u = 7 u
Cost of 15 daffodils = 15 x 3 u = 45 u
Total cost of 7 roses and 15 daffodils
= 7 u + 45 u
= 52 u
416 of the earnings → 52 u
116 of the earnings → 52 u ÷ 4 = 13 u
916 of the earnings → 9 x 13 u = 117 u
Number of roses sold that contributed to the rest of the earnings
= 117 u ÷ 1 u
= 117
316 of the earnings → 3 x 13 u = 39 u
Number of daffodils sold that contributed to the rest of the earnings
= 39 u ÷ 3 u
= 13
Number of flowers sold
= 7 + 15 + 117 + 13
= 152
Answer(s): 152