A stall was selling flowers.
15 of the earnings are from the sale of 5 poppies and 20 sunflowers. Of the rest of the earnings,
23 are from the sale of poppies and
13 are from the sale of sunflowers. Each sunflower costs twice as much as each poppy. How many flowers were sold?
5 poppies and 20 sunflowers |
Rest of the earnings |
Total earnings |
1x3 |
4x3 |
|
|
Roses |
Carnations |
|
|
2x4 |
1x4 |
|
3 |
8 |
4 |
15 |
Fraction of the earnings left after the sale of 5 poppies and 20 sunflowers
= 1 -
15 =
45 The rest of the earnings is repeated. LCM of 4 and 3 is 12.
Cost of 1 poppy = 1 u
Cost of 1 sunflower = 2 u
Cost of 5 poppies = 5 x 1 u = 5 u
Cost of 20 sunflowers = 20 x 2 u = 40 u
Total cost of 5 poppies and 20 sunflowers
= 5 u + 40 u
= 45 u
315 of the earnings → 45 u
115 of the earnings → 45 u ÷ 3 = 15 u
815 of the earnings → 8 x 15 u = 120 u
Number of poppies sold that contributed to the rest of the earnings
= 120 u ÷ 1 u
= 120
415 of the earnings → 4 x 15 u = 60 u
Number of sunflowers sold that contributed to the rest of the earnings
= 60 u ÷ 2 u
= 30
Number of flowers sold
= 5 + 20 + 120 + 30
= 175
Answer(s): 175