A stall was selling flowers.
15 of the earnings are from the sale of 12 marigolds and 14 daffodils. Of the rest of the earnings,
23 are from the sale of marigolds and
13 are from the sale of daffodils. Each daffodil costs thrice as much as each marigold. How many flowers were sold?
12 marigolds and 14 daffodils |
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 12 marigolds and 14 daffodils
= 1 -
15 =
45 The rest of the earnings is repeated. LCM of 4 and 3 is 12.
Cost of 1 marigold = 1 u
Cost of 1 daffodil = 3 u
Cost of 12 marigolds = 12 x 1 u = 12 u
Cost of 14 daffodils = 14 x 3 u = 42 u
Total cost of 12 marigolds and 14 daffodils
= 12 u + 42 u
= 54 u
315 of the earnings → 54 u
115 of the earnings → 54 u ÷ 3 = 18 u
815 of the earnings → 8 x 18 u = 144 u
Number of marigolds sold that contributed to the rest of the earnings
= 144 u ÷ 1 u
= 144
415 of the earnings → 4 x 18 u = 72 u
Number of daffodils sold that contributed to the rest of the earnings
= 72 u ÷ 3 u
= 24
Number of flowers sold
= 12 + 14 + 144 + 24
= 194
Answer(s): 194