A stall was selling flowers.
15 of the earnings are from the sale of 7 lavenders and 13 tulips. Of the rest of the earnings,
23 are from the sale of lavenders and
13 are from the sale of tulips. Each tulip costs twice as much as each lavender. How many flowers were sold?
7 lavenders and 13 tulips |
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 7 lavenders and 13 tulips
= 1 -
15 =
45 The rest of the earnings is repeated. LCM of 4 and 3 is 12.
Cost of 1 lavender = 1 u
Cost of 1 tulip = 2 u
Cost of 7 lavenders = 7 x 1 u = 7 u
Cost of 13 tulips = 13 x 2 u = 26 u
Total cost of 7 lavenders and 13 tulips
= 7 u + 26 u
= 33 u
315 of the earnings → 33 u
115 of the earnings → 33 u ÷ 3 = 11 u
815 of the earnings → 8 x 11 u = 88 u
Number of lavenders sold that contributed to the rest of the earnings
= 88 u ÷ 1 u
= 88
415 of the earnings → 4 x 11 u = 44 u
Number of tulips sold that contributed to the rest of the earnings
= 44 u ÷ 2 u
= 22
Number of flowers sold
= 7 + 13 + 88 + 22
= 130
Answer(s): 130