A stall was selling flowers.
16 of the earnings are from the sale of 12 poppies and 11 marigolds. Of the rest of the earnings,
23 are from the sale of poppies and
13 are from the sale of marigolds. Each marigold costs thrice as much as each poppy. How many flowers were sold?
12 poppies and 11 marigolds |
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 12 poppies and 11 marigolds
= 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 marigold = 3 u
Cost of 12 poppies = 12 x 1 u = 12 u
Cost of 11 marigolds = 11 x 3 u = 33 u
Total cost of 12 poppies and 11 marigolds
= 12 u + 33 u
= 45 u
318 of the earnings → 45 u
118 of the earnings → 45 u ÷ 3 = 15 u
1018 of the earnings → 10 x 15 u = 150 u
Number of poppies sold that contributed to the rest of the earnings
= 150 u ÷ 1 u
= 150
518 of the earnings → 5 x 15 u = 75 u
Number of marigolds sold that contributed to the rest of the earnings
= 75 u ÷ 3 u
= 25
Number of flowers sold
= 12 + 11 + 150 + 25
= 198
Answer(s): 198