A stall was selling flowers.
14 of the earnings are from the sale of 10 roses and 15 orchids. Of the rest of the earnings,
34 are from the sale of roses and
14 are from the sale of orchids. Each orchid costs twice as much as each rose. How many flowers were sold?
10 roses and 15 orchids |
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 10 roses and 15 orchids
= 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 orchid = 2 u
Cost of 10 roses = 10 x 1 u = 10 u
Cost of 15 orchids = 15 x 2 u = 30 u
Total cost of 10 roses and 15 orchids
= 10 u + 30 u
= 40 u
416 of the earnings → 40 u
116 of the earnings → 40 u ÷ 4 = 10 u
916 of the earnings → 9 x 10 u = 90 u
Number of roses sold that contributed to the rest of the earnings
= 90 u ÷ 1 u
= 90
316 of the earnings → 3 x 10 u = 30 u
Number of orchids sold that contributed to the rest of the earnings
= 30 u ÷ 2 u
= 15
Number of flowers sold
= 10 + 15 + 90 + 15
= 130
Answer(s): 130