A stall was selling flowers.
14 of the earnings are from the sale of 10 sunflowers and 10 daffodils. Of the rest of the earnings,
35 are from the sale of sunflowers and
25 are from the sale of daffodils. Each daffodil costs thrice as much as each sunflower. How many flowers were sold?
10 sunflowers and 10 daffodils |
Rest of the earnings |
Total earnings |
1x5 |
3x5 |
|
|
Roses |
Carnations |
|
|
3x3 |
2x3 |
|
5 |
9 |
6 |
20 |
Fraction of the earnings left after the sale of 10 sunflowers and 10 daffodils
= 1 -
14 =
34 The rest of the earnings is repeated. LCM of 3 and 5 is 15.
Cost of 1 sunflower = 1 u
Cost of 1 daffodil = 3 u
Cost of 10 sunflowers = 10 x 1 u = 10 u
Cost of 10 daffodils = 10 x 3 u = 30 u
Total cost of 10 sunflowers and 10 daffodils
= 10 u + 30 u
= 40 u
520 of the earnings → 40 u
120 of the earnings → 40 u ÷ 5 = 8 u
920 of the earnings → 9 x 8 u = 72 u
Number of sunflowers sold that contributed to the rest of the earnings
= 72 u ÷ 1 u
= 72
620 of the earnings → 6 x 8 u = 48 u
Number of daffodils sold that contributed to the rest of the earnings
= 48 u ÷ 3 u
= 16
Number of flowers sold
= 10 + 10 + 72 + 16
= 108
Answer(s): 108