A stall was selling flowers.
14 of the earnings are from the sale of 6 sunflowers and 11 peonies. Of the rest of the earnings,
35 are from the sale of sunflowers and
25 are from the sale of peonies. Each peony costs four times as much as each sunflower. How many flowers were sold?
6 sunflowers and 11 peonies |
Rest of the earnings |
Total earnings |
1x5 |
3x5 |
|
|
Roses |
Carnations |
|
|
3x3 |
2x3 |
|
5 |
9 |
6 |
20 |
Fraction of the earnings left after the sale of 6 sunflowers and 11 peonies
= 1 -
14 =
34 The rest of the earnings is repeated. LCM of 3 and 5 is 15.
Cost of 1 sunflower = 1 u
Cost of 1 peony = 4 u
Cost of 6 sunflowers = 6 x 1 u = 6 u
Cost of 11 peonies = 11 x 4 u = 44 u
Total cost of 6 sunflowers and 11 peonies
= 6 u + 44 u
= 50 u
520 of the earnings → 50 u
120 of the earnings → 50 u ÷ 5 = 10 u
920 of the earnings → 9 x 10 u = 90 u
Number of sunflowers sold that contributed to the rest of the earnings
= 90 u ÷ 1 u
= 90
620 of the earnings → 6 x 10 u = 60 u
Number of peonies sold that contributed to the rest of the earnings
= 60 u ÷ 4 u
= 15
Number of flowers sold
= 6 + 11 + 90 + 15
= 122
Answer(s): 122