A stall was selling flowers.
16 of the earnings are from the sale of 8 sunflowers and 16 marigolds. Of the rest of the earnings,
34 are from the sale of sunflowers and
14 are from the sale of marigolds. Each marigold costs twice as much as each sunflower. How many flowers were sold?
8 sunflowers and 16 marigolds |
Rest of the earnings |
Total earnings |
1x4 |
5x4 |
|
|
Roses |
Carnations |
|
|
3x5 |
1x5 |
|
4 |
15 |
5 |
24 |
Fraction of the earnings left after the sale of 8 sunflowers and 16 marigolds
= 1 -
16 =
56 The rest of the earnings is repeated. LCM of 5 and 4 is 20.
Cost of 1 sunflower = 1 u
Cost of 1 marigold = 2 u
Cost of 8 sunflowers = 8 x 1 u = 8 u
Cost of 16 marigolds = 16 x 2 u = 32 u
Total cost of 8 sunflowers and 16 marigolds
= 8 u + 32 u
= 40 u
424 of the earnings → 40 u
124 of the earnings → 40 u ÷ 4 = 10 u
1524 of the earnings → 15 x 10 u = 150 u
Number of sunflowers sold that contributed to the rest of the earnings
= 150 u ÷ 1 u
= 150
524 of the earnings → 5 x 10 u = 50 u
Number of marigolds sold that contributed to the rest of the earnings
= 50 u ÷ 2 u
= 25
Number of flowers sold
= 8 + 16 + 150 + 25
= 199
Answer(s): 199