A stall was selling flowers.
13 of the earnings are from the sale of 6 daisies and 16 sunflowers. Of the rest of the earnings,
25 are from the sale of daisies and
35 are from the sale of sunflowers. Each sunflower costs four times as much as each daisy. How many flowers were sold?
6 daisies and 16 sunflowers |
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 6 daisies and 16 sunflowers
= 1 -
13 =
23 The rest of the earnings is repeated. LCM of 2 and 5 is 10.
Cost of 1 daisy = 1 u
Cost of 1 sunflower = 4 u
Cost of 6 daisies = 6 x 1 u = 6 u
Cost of 16 sunflowers = 16 x 4 u = 64 u
Total cost of 6 daisies and 16 sunflowers
= 6 u + 64 u
= 70 u
515 of the earnings → 70 u
115 of the earnings → 70 u ÷ 5 = 14 u
415 of the earnings → 4 x 14 u = 56 u
Number of daisies sold that contributed to the rest of the earnings
= 56 u ÷ 1 u
= 56
615 of the earnings → 6 x 14 u = 84 u
Number of sunflowers sold that contributed to the rest of the earnings
= 84 u ÷ 4 u
= 21
Number of flowers sold
= 6 + 16 + 56 + 21
= 99
Answer(s): 99