A stall was selling flowers.
14 of the earnings are from the sale of 10 orchids and 20 tulips. Of the rest of the earnings,
25 are from the sale of orchids and
35 are from the sale of tulips. Each tulip costs thrice as much as each orchid. How many flowers were sold?
10 orchids and 20 tulips |
Rest of the earnings |
Total earnings |
1x5 |
3x5 |
|
|
Roses |
Carnations |
|
|
2x3 |
3x3 |
|
5 |
6 |
9 |
20 |
Fraction of the earnings left after the sale of 10 orchids and 20 tulips
= 1 -
14 =
34 The rest of the earnings is repeated. LCM of 3 and 5 is 15.
Cost of 1 orchid = 1 u
Cost of 1 tulip = 3 u
Cost of 10 orchids = 10 x 1 u = 10 u
Cost of 20 tulips = 20 x 3 u = 60 u
Total cost of 10 orchids and 20 tulips
= 10 u + 60 u
= 70 u
520 of the earnings → 70 u
120 of the earnings → 70 u ÷ 5 = 14 u
620 of the earnings → 6 x 14 u = 84 u
Number of orchids sold that contributed to the rest of the earnings
= 84 u ÷ 1 u
= 84
920 of the earnings → 9 x 14 u = 126 u
Number of tulips sold that contributed to the rest of the earnings
= 126 u ÷ 3 u
= 42
Number of flowers sold
= 10 + 20 + 84 + 42
= 156
Answer(s): 156