A stall was selling flowers.
14 of the earnings are from the sale of 12 roses and 10 daisies. Of the rest of the earnings,
34 are from the sale of roses and
14 are from the sale of daisies. Each daisy costs twice as much as each rose. How many flowers were sold?
12 roses and 10 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 12 roses and 10 daisies
= 1 -
14 =
34 The rest of the earnings is repeated. LCM of 3 and 4 is 12.
Cost of 1 rose = 1 u
Cost of 1 daisy = 2 u
Cost of 12 roses = 12 x 1 u = 12 u
Cost of 10 daisies = 10 x 2 u = 20 u
Total cost of 12 roses and 10 daisies
= 12 u + 20 u
= 32 u
416 of the earnings → 32 u
116 of the earnings → 32 u ÷ 4 = 8 u
916 of the earnings → 9 x 8 u = 72 u
Number of roses sold that contributed to the rest of the earnings
= 72 u ÷ 1 u
= 72
316 of the earnings → 3 x 8 u = 24 u
Number of daisies sold that contributed to the rest of the earnings
= 24 u ÷ 2 u
= 12
Number of flowers sold
= 12 + 10 + 72 + 12
= 106
Answer(s): 106