SOLVING FRACTION PROBLEMS

Question

Lira has flowers. 2/9 of them are roses, 3/7 of the remainders are sunflowers and the rest are tulips. if she has 36 tulips, how many sunflowers and roses does she have altogether?

Answer 1

X is the total number of flowers

7/9 of the remaining are not roses...

of the remaining, 4/7*7/9 x = 36 are tulips

4/9 x = 36

x = 36*9/4 = 81

81 flowers altogether

2/9*81 = 18 are roses

63 remain... of them 3/7*63 = 27 are sunflowers

63-27 = 36 are tulips, so yes it checks