A stall was selling flowers.
13 of the earnings are from the sale of 5 carnations and 20 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?
5 carnations and 20 daisies |
Rest of the earnings |
Total earnings |
1x5 |
2x5 |
|
|
Roses |
Carnations |
|
|
2x2 |
3x2 |
|
5 |
4 |
6 |
15 |
Fraction of the earnings left after the sale of 5 carnations and 20 daisies
= 1 -
13 =
23 The rest of the earnings is repeated. LCM of 2 and 5 is 10.
Cost of 1 carnation = 1 u
Cost of 1 daisy = 3 u
Cost of 5 carnations = 5 x 1 u = 5 u
Cost of 20 daisies = 20 x 3 u = 60 u
Total cost of 5 carnations and 20 daisies
= 5 u + 60 u
= 65 u
515 of the earnings → 65 u
115 of the earnings → 65 u ÷ 5 = 13 u
415 of the earnings → 4 x 13 u = 52 u
Number of carnations sold that contributed to the rest of the earnings
= 52 u ÷ 1 u
= 52
615 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
= 5 + 20 + 52 + 26
= 103
Answer(s): 103