A stall was selling flowers.
15 of the earnings are from the sale of 8 tulips and 18 daisies. Of the rest of the earnings,
25 are from the sale of tulips and
35 are from the sale of daisies. Each daisy costs four times as much as each tulip. How many flowers were sold?
8 tulips and 18 daisies |
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 8 tulips and 18 daisies
= 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 daisy = 4 u
Cost of 8 tulips = 8 x 1 u = 8 u
Cost of 18 daisies = 18 x 4 u = 72 u
Total cost of 8 tulips and 18 daisies
= 8 u + 72 u
= 80 u
525 of the earnings → 80 u
125 of the earnings → 80 u ÷ 5 = 16 u
825 of the earnings → 8 x 16 u = 128 u
Number of tulips sold that contributed to the rest of the earnings
= 128 u ÷ 1 u
= 128
1225 of the earnings → 12 x 16 u = 192 u
Number of daisies sold that contributed to the rest of the earnings
= 192 u ÷ 4 u
= 48
Number of flowers sold
= 8 + 18 + 128 + 48
= 202
Answer(s): 202