A stall was selling flowers.
13 of the earnings are from the sale of 12 marigolds and 19 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 four times as much as each marigold. How many flowers were sold?
12 marigolds and
19 daisies |
Rest of the earnings |
Total earnings |
| 1x2 |
2x2 |
|
| |
Roses |
Carnations |
|
| |
3x1 |
1x1 |
|
| 2 |
3 |
1 |
6 |
Fraction of the earnings left after the sale of 12 marigolds and 19 daisies
= 1 -
13 =
23 The rest of the earnings is repeated. LCM of 2 and 4 is 4.
Cost of 1 marigold = 1 u
Cost of 1 daisy = 4 u
Cost of 12 marigolds = 12 x 1 u = 12 u
Cost of 19 daisies = 19 x 4 u = 76 u
Total cost of 12 marigolds and 19 daisies
= 12 u + 76 u
= 88 u
26 of the earnings → 88 u
16 of the earnings → 88 u ÷ 2 = 44 u
36 of the earnings → 3 x 44 u = 132 u
Number of marigolds sold that contributed to the rest of the earnings
= 132 u ÷ 1 u
= 132
16 of the earnings → 1 x 44 u = 44 u
Number of daisies sold that contributed to the rest of the earnings
= 44 u ÷ 4 u
= 11
Number of flowers sold
= 12 + 19 + 132 + 11
= 174
Answer(s): 174
