# Red and white

Simona picked 63 tulips in the garden and tied bicolor bouquets for her girlfriends. The tulips were only red and white. She put as many tulips in each bouquet, three of which were always red. How much could Simon tear off white tulips? Write all the options.

Result

b1 =  4
b2 =  6
b3 =  18

#### Solution:

$63=n \cdot \ (3+b) \ \\ b<>0 \ \\ n>1 \ \\ \ \\ b_{1}=4 \ \\ n_{1}=63/(3+b_{1})=63/(3+4)=9$
$b_{2}=6 \ \\ n_{2}=63/(3+b_{2})=63/(3+6)=7$
$b_{3}=18 \ \\ n_{3}=63/(3+b_{3})=63/(3+18)=3$

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