A hotel ballroom is decorated with tulips, roses and peonies. The ratio of the number of tulips to the number of roses in the ballroom is 2:3 . There are 4 times as many roses as peonies in the ballroom. There are 575 stalks of flowers in the ballroom altogether. How many tulips are there?
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Question
Answer
Adwin
Since the number of roses are constant in both ratios, we make them into the same number of units to compare directly:
Tulips : Roses
2 : 3
8 : 12
Peonies : Roses
1 : 4
3 : 12
Tulips : Roses : Peonies
8 : 12 : 3
Total units of flowers → 8 + 12 + 3
= 23
23 units → 575
1 unit → 575 ÷ 23
= 25
8 units = 25 × 8
= 200 tulips
sgexamguru
Wrong. The question is asking about tulips
Adwin
Oops. That was careless. Thanks for pointing out.
sgexamguru
T=2x
R=3x
P=3x/4
5.75x = 575
x = 100
2x = 200