A stall was selling flowers.
13 of the earnings are from the sale of 11 peonies and 17 carnations. Of the rest of the earnings,
23 are from the sale of peonies and
13 are from the sale of carnations. Each carnation costs twice as much as each peony. How many flowers were sold?
11 peonies and
17 carnations |
Rest of the earnings |
Total earnings |
| 1x3 |
2x3 |
|
| |
Roses |
Carnations |
|
| |
2x2 |
1x2 |
|
| 3 |
4 |
2 |
9 |
Fraction of the earnings left after the sale of 11 peonies and 17 carnations
= 1 -
13 =
23 The rest of the earnings is repeated. LCM of 2 and 3 is 6.
Cost of 1 peony = 1 u
Cost of 1 carnation = 2 u
Cost of 11 peonies = 11 x 1 u = 11 u
Cost of 17 carnations = 17 x 2 u = 34 u
Total cost of 11 peonies and 17 carnations
= 11 u + 34 u
= 45 u
39 of the earnings → 45 u
19 of the earnings → 45 u ÷ 3 = 15 u
49 of the earnings → 4 x 15 u = 60 u
Number of peonies sold that contributed to the rest of the earnings
= 60 u ÷ 1 u
= 60
29 of the earnings → 2 x 15 u = 30 u
Number of carnations sold that contributed to the rest of the earnings
= 30 u ÷ 2 u
= 15
Number of flowers sold
= 11 + 17 + 60 + 15
= 103
Answer(s): 103
