A stall was selling flowers.
14 of the earnings are from the sale of 9 lavenders and 12 roses. Of the rest of the earnings,
35 are from the sale of lavenders and
25 are from the sale of roses. Each rose costs thrice as much as each lavender. How many flowers were sold?
9 lavenders and 12 roses |
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 9 lavenders and 12 roses
= 1 -
14 =
34 The rest of the earnings is repeated. LCM of 3 and 5 is 15.
Cost of 1 lavender = 1 u
Cost of 1 rose = 3 u
Cost of 9 lavenders = 9 x 1 u = 9 u
Cost of 12 roses = 12 x 3 u = 36 u
Total cost of 9 lavenders and 12 roses
= 9 u + 36 u
= 45 u
520 of the earnings → 45 u
120 of the earnings → 45 u ÷ 5 = 9 u
920 of the earnings → 9 x 9 u = 81 u
Number of lavenders sold that contributed to the rest of the earnings
= 81 u ÷ 1 u
= 81
620 of the earnings → 6 x 9 u = 54 u
Number of roses sold that contributed to the rest of the earnings
= 54 u ÷ 3 u
= 18
Number of flowers sold
= 9 + 12 + 81 + 18
= 120
Answer(s): 120