A flower bouquet contains pink roses, red roses, pink carnations, and red carnations. One third of the pink flowers are roses, three fourths of the red flowers are carnations, and six ninths of the flowers are pink. What percent of the flowers are carnations?
+129657 A flower bouquet contains pink roses, red roses, pink carnations, and red carnations. One third of the pink flowers are roses, three fourths of the red flowers are carnations, and six ninths of the flowers are pink. What percent of the flowers are carnations?
Let's suppose that we have 36 flowers (the common denominator of 3,4 and 9)
(6/9) = (2/3) of the flowers are pink= (2/3) (36) = 24
So (1/3)are red = 12
(2/3) of the pink flowers are carnations = (2/3) (24) = 16 are pink carnations
Check
(1/3) of the pink flowers are roses = (1/3) = 8
(3/4) of the red flowers are carnations = (3/4) (12) = 9 red carnations
So (1/4) of the red flowers are roses = (1/4)(12) = 3
So we have
Pink Red
Roses Carnations Roses Carnations
8 16 3 9
So pct carnations = (16 + 9) /36 = 25 / 36 ≈ 69.4 %
