A stall was selling flowers.
14 of the earnings are from the sale of 8 carnations and 19 daisies. Of the rest of the earnings,
35 are from the sale of carnations and
25 are from the sale of daisies. Each daisy costs thrice as much as each carnation. How many flowers were sold?
8 carnations and 19 daisies |
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 8 carnations and 19 daisies
= 1 -
14 =
34 The rest of the earnings is repeated. LCM of 3 and 5 is 15.
Cost of 1 carnation = 1 u
Cost of 1 daisy = 3 u
Cost of 8 carnations = 8 x 1 u = 8 u
Cost of 19 daisies = 19 x 3 u = 57 u
Total cost of 8 carnations and 19 daisies
= 8 u + 57 u
= 65 u
520 of the earnings → 65 u
120 of the earnings → 65 u ÷ 5 = 13 u
920 of the earnings → 9 x 13 u = 117 u
Number of carnations sold that contributed to the rest of the earnings
= 117 u ÷ 1 u
= 117
620 of the earnings → 6 x 13 u = 78 u
Number of daisies sold that contributed to the rest of the earnings
= 78 u ÷ 3 u
= 26
Number of flowers sold
= 8 + 19 + 117 + 26
= 170
Answer(s): 170