A stall was selling flowers.
15 of the earnings are from the sale of 10 tulips and 10 sunflowers. Of the rest of the earnings,
25 are from the sale of tulips and
35 are from the sale of sunflowers. Each sunflower costs four times as much as each tulip. How many flowers were sold?
10 tulips and 10 sunflowers |
Rest of the earnings |
Total earnings |
1x5 |
4x5 |
|
|
Roses |
Carnations |
|
|
2x4 |
3x4 |
|
5 |
8 |
12 |
25 |
Fraction of the earnings left after the sale of 10 tulips and 10 sunflowers
= 1 -
15 =
45 The rest of the earnings is repeated. LCM of 4 and 5 is 20.
Cost of 1 tulip = 1 u
Cost of 1 sunflower = 4 u
Cost of 10 tulips = 10 x 1 u = 10 u
Cost of 10 sunflowers = 10 x 4 u = 40 u
Total cost of 10 tulips and 10 sunflowers
= 10 u + 40 u
= 50 u
525 of the earnings → 50 u
125 of the earnings → 50 u ÷ 5 = 10 u
825 of the earnings → 8 x 10 u = 80 u
Number of tulips sold that contributed to the rest of the earnings
= 80 u ÷ 1 u
= 80
1225 of the earnings → 12 x 10 u = 120 u
Number of sunflowers sold that contributed to the rest of the earnings
= 120 u ÷ 4 u
= 30
Number of flowers sold
= 10 + 10 + 80 + 30
= 130
Answer(s): 130