A stall was selling flowers.
15 of the earnings are from the sale of 12 tulips and 14 daisies. Of the rest of the earnings,
23 are from the sale of tulips and
13 are from the sale of daisies. Each daisy costs thrice as much as each tulip. How many flowers were sold?
12 tulips and 14 daisies |
Rest of the earnings |
Total earnings |
1x3 |
4x3 |
|
|
Roses |
Carnations |
|
|
2x4 |
1x4 |
|
3 |
8 |
4 |
15 |
Fraction of the earnings left after the sale of 12 tulips and 14 daisies
= 1 -
15 =
45 The rest of the earnings is repeated. LCM of 4 and 3 is 12.
Cost of 1 tulip = 1 u
Cost of 1 daisy = 3 u
Cost of 12 tulips = 12 x 1 u = 12 u
Cost of 14 daisies = 14 x 3 u = 42 u
Total cost of 12 tulips and 14 daisies
= 12 u + 42 u
= 54 u
315 of the earnings → 54 u
115 of the earnings → 54 u ÷ 3 = 18 u
815 of the earnings → 8 x 18 u = 144 u
Number of tulips sold that contributed to the rest of the earnings
= 144 u ÷ 1 u
= 144
415 of the earnings → 4 x 18 u = 72 u
Number of daisies sold that contributed to the rest of the earnings
= 72 u ÷ 3 u
= 24
Number of flowers sold
= 12 + 14 + 144 + 24
= 194
Answer(s): 194