A stall was selling flowers.
14 of the earnings are from the sale of 7 tulips and 16 daisies. Of the rest of the earnings,
35 are from the sale of tulips and
25 are from the sale of daisies. Each daisy costs thrice as much as each tulip. How many flowers were sold?
7 tulips and 16 daisies |
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 7 tulips and 16 daisies
= 1 -
14 =
34 The rest of the earnings is repeated. LCM of 3 and 5 is 15.
Cost of 1 tulip = 1 u
Cost of 1 daisy = 3 u
Cost of 7 tulips = 7 x 1 u = 7 u
Cost of 16 daisies = 16 x 3 u = 48 u
Total cost of 7 tulips and 16 daisies
= 7 u + 48 u
= 55 u
520 of the earnings → 55 u
120 of the earnings → 55 u ÷ 5 = 11 u
920 of the earnings → 9 x 11 u = 99 u
Number of tulips sold that contributed to the rest of the earnings
= 99 u ÷ 1 u
= 99
620 of the earnings → 6 x 11 u = 66 u
Number of daisies sold that contributed to the rest of the earnings
= 66 u ÷ 3 u
= 22
Number of flowers sold
= 7 + 16 + 99 + 22
= 144
Answer(s): 144