A stall was selling flowers.
14 of the earnings are from the sale of 5 marigolds and 17 daisies. Of the rest of the earnings,
34 are from the sale of marigolds and
14 are from the sale of daisies. Each daisy costs thrice as much as each marigold. How many flowers were sold?
5 marigolds and 17 daisies |
Rest of the earnings |
Total earnings |
1x4 |
3x4 |
|
|
Roses |
Carnations |
|
|
3x3 |
1x3 |
|
4 |
9 |
3 |
16 |
Fraction of the earnings left after the sale of 5 marigolds and 17 daisies
= 1 -
14 =
34 The rest of the earnings is repeated. LCM of 3 and 4 is 12.
Cost of 1 marigold = 1 u
Cost of 1 daisy = 3 u
Cost of 5 marigolds = 5 x 1 u = 5 u
Cost of 17 daisies = 17 x 3 u = 51 u
Total cost of 5 marigolds and 17 daisies
= 5 u + 51 u
= 56 u
416 of the earnings → 56 u
116 of the earnings → 56 u ÷ 4 = 14 u
916 of the earnings → 9 x 14 u = 126 u
Number of marigolds sold that contributed to the rest of the earnings
= 126 u ÷ 1 u
= 126
316 of the earnings → 3 x 14 u = 42 u
Number of daisies sold that contributed to the rest of the earnings
= 42 u ÷ 3 u
= 14
Number of flowers sold
= 5 + 17 + 126 + 14
= 162
Answer(s): 162