A stall was selling flowers.
16 of the earnings are from the sale of 8 peonies and 20 tulips. Of the rest of the earnings,
23 are from the sale of peonies and
13 are from the sale of tulips. Each tulip costs twice as much as each peony. How many flowers were sold?
8 peonies and 20 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 8 peonies and 20 tulips
= 1 -
16 =
56 The rest of the earnings is repeated. LCM of 5 and 3 is 15.
Cost of 1 peony = 1 u
Cost of 1 tulip = 2 u
Cost of 8 peonies = 8 x 1 u = 8 u
Cost of 20 tulips = 20 x 2 u = 40 u
Total cost of 8 peonies and 20 tulips
= 8 u + 40 u
= 48 u
318 of the earnings → 48 u
118 of the earnings → 48 u ÷ 3 = 16 u
1018 of the earnings → 10 x 16 u = 160 u
Number of peonies sold that contributed to the rest of the earnings
= 160 u ÷ 1 u
= 160
518 of the earnings → 5 x 16 u = 80 u
Number of tulips sold that contributed to the rest of the earnings
= 80 u ÷ 2 u
= 40
Number of flowers sold
= 8 + 20 + 160 + 40
= 228
Answer(s): 228