A stall was selling flowers.
15 of the earnings are from the sale of 10 marigolds and 10 tulips. Of the rest of the earnings,
35 are from the sale of marigolds and
25 are from the sale of tulips. Each tulip costs twice as much as each marigold. How many flowers were sold?
10 marigolds and 10 tulips |
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 10 marigolds and 10 tulips
= 1 -
15 =
45 The rest of the earnings is repeated. LCM of 4 and 5 is 20.
Cost of 1 marigold = 1 u
Cost of 1 tulip = 2 u
Cost of 10 marigolds = 10 x 1 u = 10 u
Cost of 10 tulips = 10 x 2 u = 20 u
Total cost of 10 marigolds and 10 tulips
= 10 u + 20 u
= 30 u
525 of the earnings → 30 u
125 of the earnings → 30 u ÷ 5 = 6 u
1225 of the earnings → 12 x 6 u = 72 u
Number of marigolds sold that contributed to the rest of the earnings
= 72 u ÷ 1 u
= 72
825 of the earnings → 8 x 6 u = 48 u
Number of tulips sold that contributed to the rest of the earnings
= 48 u ÷ 2 u
= 24
Number of flowers sold
= 10 + 10 + 72 + 24
= 116
Answer(s): 116