A stall was selling flowers.
15 of the earnings are from the sale of 11 marigolds and 14 sunflowers. Of the rest of the earnings,
23 are from the sale of marigolds and
13 are from the sale of sunflowers. Each sunflower costs twice as much as each marigold. How many flowers were sold?
11 marigolds and 14 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 11 marigolds and 14 sunflowers
= 1 -
15 =
45 The rest of the earnings is repeated. LCM of 4 and 3 is 12.
Cost of 1 marigold = 1 u
Cost of 1 sunflower = 2 u
Cost of 11 marigolds = 11 x 1 u = 11 u
Cost of 14 sunflowers = 14 x 2 u = 28 u
Total cost of 11 marigolds and 14 sunflowers
= 11 u + 28 u
= 39 u
315 of the earnings → 39 u
115 of the earnings → 39 u ÷ 3 = 13 u
815 of the earnings → 8 x 13 u = 104 u
Number of marigolds sold that contributed to the rest of the earnings
= 104 u ÷ 1 u
= 104
415 of the earnings → 4 x 13 u = 52 u
Number of sunflowers sold that contributed to the rest of the earnings
= 52 u ÷ 2 u
= 26
Number of flowers sold
= 11 + 14 + 104 + 26
= 155
Answer(s): 155