A stall was selling flowers.
15 of the earnings are from the sale of 6 carnations and 11 daisies. Of the rest of the earnings,
35 are from the sale of carnations and
25 are from the sale of daisies. Each daisy costs four times as much as each carnation. How many flowers were sold?
6 carnations and 11 daisies |
Rest of the earnings |
Total earnings |
1x5 |
4x5 |
|
|
Roses |
Carnations |
|
|
3x4 |
2x4 |
|
5 |
12 |
8 |
25 |
Fraction of the earnings left after the sale of 6 carnations and 11 daisies
= 1 -
15 =
45 The rest of the earnings is repeated. LCM of 4 and 5 is 20.
Cost of 1 carnation = 1 u
Cost of 1 daisy = 4 u
Cost of 6 carnations = 6 x 1 u = 6 u
Cost of 11 daisies = 11 x 4 u = 44 u
Total cost of 6 carnations and 11 daisies
= 6 u + 44 u
= 50 u
525 of the earnings → 50 u
125 of the earnings → 50 u ÷ 5 = 10 u
1225 of the earnings → 12 x 10 u = 120 u
Number of carnations sold that contributed to the rest of the earnings
= 120 u ÷ 1 u
= 120
825 of the earnings → 8 x 10 u = 80 u
Number of daisies sold that contributed to the rest of the earnings
= 80 u ÷ 4 u
= 20
Number of flowers sold
= 6 + 11 + 120 + 20
= 157
Answer(s): 157