A stall was selling flowers.
16 of the earnings are from the sale of 8 roses and 18 marigolds. Of the rest of the earnings,
34 are from the sale of roses and
14 are from the sale of marigolds. Each marigold costs four times as much as each rose. How many flowers were sold?
8 roses and 18 marigolds |
Rest of the earnings |
Total earnings |
1x4 |
5x4 |
|
|
Roses |
Carnations |
|
|
3x5 |
1x5 |
|
4 |
15 |
5 |
24 |
Fraction of the earnings left after the sale of 8 roses and 18 marigolds
= 1 -
16 =
56 The rest of the earnings is repeated. LCM of 5 and 4 is 20.
Cost of 1 rose = 1 u
Cost of 1 marigold = 4 u
Cost of 8 roses = 8 x 1 u = 8 u
Cost of 18 marigolds = 18 x 4 u = 72 u
Total cost of 8 roses and 18 marigolds
= 8 u + 72 u
= 80 u
424 of the earnings → 80 u
124 of the earnings → 80 u ÷ 4 = 20 u
1524 of the earnings → 15 x 20 u = 300 u
Number of roses sold that contributed to the rest of the earnings
= 300 u ÷ 1 u
= 300
524 of the earnings → 5 x 20 u = 100 u
Number of marigolds sold that contributed to the rest of the earnings
= 100 u ÷ 4 u
= 25
Number of flowers sold
= 8 + 18 + 300 + 25
= 351
Answer(s): 351