A stall was selling flowers.
13 of the earnings are from the sale of 10 carnations and 20 poppies. Of the rest of the earnings,
25 are from the sale of carnations and
35 are from the sale of poppies. Each poppy costs twice as much as each carnation. How many flowers were sold?
10 carnations and 20 poppies |
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 10 carnations and 20 poppies
= 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 poppy = 2 u
Cost of 10 carnations = 10 x 1 u = 10 u
Cost of 20 poppies = 20 x 2 u = 40 u
Total cost of 10 carnations and 20 poppies
= 10 u + 40 u
= 50 u
515 of the earnings → 50 u
115 of the earnings → 50 u ÷ 5 = 10 u
415 of the earnings → 4 x 10 u = 40 u
Number of carnations sold that contributed to the rest of the earnings
= 40 u ÷ 1 u
= 40
615 of the earnings → 6 x 10 u = 60 u
Number of poppies sold that contributed to the rest of the earnings
= 60 u ÷ 2 u
= 30
Number of flowers sold
= 10 + 20 + 40 + 30
= 100
Answer(s): 100