A stall was selling flowers.
16 of the earnings are from the sale of 10 poppies and 10 tulips. Of the rest of the earnings,
23 are from the sale of poppies and
13 are from the sale of tulips. Each tulip costs twice as much as each poppy. How many flowers were sold?
10 poppies and 10 tulips |
Rest of the earnings |
Total earnings |
1x3 |
5x3 |
|
|
Roses |
Carnations |
|
|
2x5 |
1x5 |
|
3 |
10 |
5 |
18 |
Fraction of the earnings left after the sale of 10 poppies and 10 tulips
= 1 -
16 =
56 The rest of the earnings is repeated. LCM of 5 and 3 is 15.
Cost of 1 poppy = 1 u
Cost of 1 tulip = 2 u
Cost of 10 poppies = 10 x 1 u = 10 u
Cost of 10 tulips = 10 x 2 u = 20 u
Total cost of 10 poppies and 10 tulips
= 10 u + 20 u
= 30 u
318 of the earnings → 30 u
118 of the earnings → 30 u ÷ 3 = 10 u
1018 of the earnings → 10 x 10 u = 100 u
Number of poppies sold that contributed to the rest of the earnings
= 100 u ÷ 1 u
= 100
518 of the earnings → 5 x 10 u = 50 u
Number of tulips sold that contributed to the rest of the earnings
= 50 u ÷ 2 u
= 25
Number of flowers sold
= 10 + 10 + 100 + 25
= 145
Answer(s): 145