A stall was selling flowers.
16 of the earnings are from the sale of 8 roses and 11 sunflowers. Of the rest of the earnings,
23 are from the sale of roses and
13 are from the sale of sunflowers. Each sunflower costs twice as much as each rose. How many flowers were sold?
8 roses and 11 sunflowers |
Rest of the earnings |
Total earnings |
1x3 |
5x3 |
|
|
Roses |
Carnations |
|
|
2x5 |
1x5 |
|
3 |
10 |
5 |
18 |
Fraction of the earnings left after the sale of 8 roses and 11 sunflowers
= 1 -
16 =
56 The rest of the earnings is repeated. LCM of 5 and 3 is 15.
Cost of 1 rose = 1 u
Cost of 1 sunflower = 2 u
Cost of 8 roses = 8 x 1 u = 8 u
Cost of 11 sunflowers = 11 x 2 u = 22 u
Total cost of 8 roses and 11 sunflowers
= 8 u + 22 u
= 30 u
318 of the earnings → 30 u
118 of the earnings → 30 u ÷ 3 = 10 u
1018 of the earnings → 10 x 10 u = 100 u
Number of roses sold that contributed to the rest of the earnings
= 100 u ÷ 1 u
= 100
518 of the earnings → 5 x 10 u = 50 u
Number of sunflowers sold that contributed to the rest of the earnings
= 50 u ÷ 2 u
= 25
Number of flowers sold
= 8 + 11 + 100 + 25
= 144
Answer(s): 144