A stall was selling flowers.
14 of the earnings are from the sale of 10 tulips and 15 poppies. Of the rest of the earnings,
25 are from the sale of tulips and
35 are from the sale of poppies. Each poppy costs twice as much as each tulip. How many flowers were sold?
10 tulips and 15 poppies |
Rest of the earnings |
Total earnings |
1x5 |
3x5 |
|
|
Roses |
Carnations |
|
|
2x3 |
3x3 |
|
5 |
6 |
9 |
20 |
Fraction of the earnings left after the sale of 10 tulips and 15 poppies
= 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 poppy = 2 u
Cost of 10 tulips = 10 x 1 u = 10 u
Cost of 15 poppies = 15 x 2 u = 30 u
Total cost of 10 tulips and 15 poppies
= 10 u + 30 u
= 40 u
520 of the earnings → 40 u
120 of the earnings → 40 u ÷ 5 = 8 u
620 of the earnings → 6 x 8 u = 48 u
Number of tulips sold that contributed to the rest of the earnings
= 48 u ÷ 1 u
= 48
920 of the earnings → 9 x 8 u = 72 u
Number of poppies sold that contributed to the rest of the earnings
= 72 u ÷ 2 u
= 36
Number of flowers sold
= 10 + 15 + 48 + 36
= 109
Answer(s): 109