A stall was selling flowers.
14 of the earnings are from the sale of 11 carnations and 18 daisies. Of the rest of the earnings,
25 are from the sale of carnations and
35 are from the sale of daisies. Each daisy costs thrice as much as each carnation. How many flowers were sold?
11 carnations and 18 daisies |
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 11 carnations and 18 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 11 carnations = 11 x 1 u = 11 u
Cost of 18 daisies = 18 x 3 u = 54 u
Total cost of 11 carnations and 18 daisies
= 11 u + 54 u
= 65 u
520 of the earnings → 65 u
120 of the earnings → 65 u ÷ 5 = 13 u
620 of the earnings → 6 x 13 u = 78 u
Number of carnations sold that contributed to the rest of the earnings
= 78 u ÷ 1 u
= 78
920 of the earnings → 9 x 13 u = 117 u
Number of daisies sold that contributed to the rest of the earnings
= 117 u ÷ 3 u
= 39
Number of flowers sold
= 11 + 18 + 78 + 39
= 146
Answer(s): 146