A stall was selling flowers.
13 of the earnings are from the sale of 8 poppies and 13 carnations. Of the rest of the earnings,
35 are from the sale of poppies and
25 are from the sale of carnations. Each carnation costs four times as much as each poppy. How many flowers were sold?
8 poppies and 13 carnations |
Rest of the earnings |
Total earnings |
1x5 |
2x5 |
|
|
Roses |
Carnations |
|
|
3x2 |
2x2 |
|
5 |
6 |
4 |
15 |
Fraction of the earnings left after the sale of 8 poppies and 13 carnations
= 1 -
13 =
23 The rest of the earnings is repeated. LCM of 2 and 5 is 10.
Cost of 1 poppy = 1 u
Cost of 1 carnation = 4 u
Cost of 8 poppies = 8 x 1 u = 8 u
Cost of 13 carnations = 13 x 4 u = 52 u
Total cost of 8 poppies and 13 carnations
= 8 u + 52 u
= 60 u
515 of the earnings → 60 u
115 of the earnings → 60 u ÷ 5 = 12 u
615 of the earnings → 6 x 12 u = 72 u
Number of poppies sold that contributed to the rest of the earnings
= 72 u ÷ 1 u
= 72
415 of the earnings → 4 x 12 u = 48 u
Number of carnations sold that contributed to the rest of the earnings
= 48 u ÷ 4 u
= 12
Number of flowers sold
= 8 + 13 + 72 + 12
= 105
Answer(s): 105