A stall was selling flowers.
15 of the earnings are from the sale of 5 lavenders and 15 sunflowers. Of the rest of the earnings,
35 are from the sale of lavenders and
25 are from the sale of sunflowers. Each sunflower costs twice as much as each lavender. How many flowers were sold?
5 lavenders and 15 sunflowers |
Rest of the earnings |
Total earnings |
1x5 |
4x5 |
|
|
Roses |
Carnations |
|
|
3x4 |
2x4 |
|
5 |
12 |
8 |
25 |
Fraction of the earnings left after the sale of 5 lavenders and 15 sunflowers
= 1 -
15 =
45 The rest of the earnings is repeated. LCM of 4 and 5 is 20.
Cost of 1 lavender = 1 u
Cost of 1 sunflower = 2 u
Cost of 5 lavenders = 5 x 1 u = 5 u
Cost of 15 sunflowers = 15 x 2 u = 30 u
Total cost of 5 lavenders and 15 sunflowers
= 5 u + 30 u
= 35 u
525 of the earnings → 35 u
125 of the earnings → 35 u ÷ 5 = 7 u
1225 of the earnings → 12 x 7 u = 84 u
Number of lavenders sold that contributed to the rest of the earnings
= 84 u ÷ 1 u
= 84
825 of the earnings → 8 x 7 u = 56 u
Number of sunflowers sold that contributed to the rest of the earnings
= 56 u ÷ 2 u
= 28
Number of flowers sold
= 5 + 15 + 84 + 28
= 132
Answer(s): 132