Tony is making flower arrangements. He is using 3 different kinds of flowers--roses, daisies, and tulips. Each arrangement will have the same number of each kind of flower. He figures that if he uses all the flowers, the greatest number of arrangements he can make is 7. He has 42 flowers in all, with more daisies than tulips, and more tulips than roses. How many of each kind of flower does Tony have?

Answer 1

42 flowers in 7 arrangements means 6 flowers per arrangement.

d > t
t > r

1+2+3 = 6

so, there must be 1 rose, 2 tulips, 3 daisies in each arrangement.

multiply by 7 for all the arrangements.