A stall was selling flowers.
13 of the earnings are from the sale of 12 marigolds and 20 lavenders. Of the rest of the earnings,
34 are from the sale of marigolds and
14 are from the sale of lavenders. Each lavender costs twice as much as each marigold. How many flowers were sold?
12 marigolds and 20 lavenders |
Rest of the earnings |
Total earnings |
1x2 |
2x2 |
|
|
Roses |
Carnations |
|
|
3x1 |
1x1 |
|
2 |
3 |
1 |
6 |
Fraction of the earnings left after the sale of 12 marigolds and 20 lavenders
= 1 -
13 =
23 The rest of the earnings is repeated. LCM of 2 and 4 is 4.
Cost of 1 marigold = 1 u
Cost of 1 lavender = 2 u
Cost of 12 marigolds = 12 x 1 u = 12 u
Cost of 20 lavenders = 20 x 2 u = 40 u
Total cost of 12 marigolds and 20 lavenders
= 12 u + 40 u
= 52 u
26 of the earnings → 52 u
16 of the earnings → 52 u ÷ 2 = 26 u
36 of the earnings → 3 x 26 u = 78 u
Number of marigolds sold that contributed to the rest of the earnings
= 78 u ÷ 1 u
= 78
16 of the earnings → 1 x 26 u = 26 u
Number of lavenders sold that contributed to the rest of the earnings
= 26 u ÷ 2 u
= 13
Number of flowers sold
= 12 + 20 + 78 + 13
= 123
Answer(s): 123