A stall was selling flowers.
13 of the earnings are from the sale of 6 lavenders and 13 sunflowers. Of the rest of the earnings,
34 are from the sale of lavenders and
14 are from the sale of sunflowers. Each sunflower costs twice as much as each lavender. How many flowers were sold?
6 lavenders and
13 sunflowers |
Rest of the earnings |
Total earnings |
| 1x2 |
2x2 |
|
| |
Roses |
Carnations |
|
| |
3x1 |
1x1 |
|
| 2 |
3 |
1 |
6 |
Fraction of the earnings left after the sale of 6 lavenders and 13 sunflowers
= 1 -
13 =
23 The rest of the earnings is repeated. LCM of 2 and 4 is 4.
Cost of 1 lavender = 1 u
Cost of 1 sunflower = 2 u
Cost of 6 lavenders = 6 x 1 u = 6 u
Cost of 13 sunflowers = 13 x 2 u = 26 u
Total cost of 6 lavenders and 13 sunflowers
= 6 u + 26 u
= 32 u
26 of the earnings → 32 u
16 of the earnings → 32 u ÷ 2 = 16 u
36 of the earnings → 3 x 16 u = 48 u
Number of lavenders sold that contributed to the rest of the earnings
= 48 u ÷ 1 u
= 48
16 of the earnings → 1 x 16 u = 16 u
Number of sunflowers sold that contributed to the rest of the earnings
= 16 u ÷ 2 u
= 8
Number of flowers sold
= 6 + 13 + 48 + 8
= 75
Answer(s): 75
