Question

10ft_____30ft_______________10ft_____15ft______
Space Large Float Space Sm Float
A)The parade must be atleast 150ft long, but no longer than 200ft. What combination of small floats and large floats are possible?

B) Large floats cost $600 to operate. Small floats cost $300 to operate. The town has a budget of $2500 to operate the floats. How does this change your answer to part A? What combination of large and small floats are possible?

Answer 1

you need some equations?
x= # of small floats
y= # of big floats
length (without the spacing) is 15x+30y
you need a gap in between all of them. If you had 2 floats, 1 gap, 3 floats then 2 gaps
so it looks like you need (x+y - 1) gaps (number of floats less 1).
the total length with gaps is betwen

150≤15x +30y +10(x+y-1) ≤ 200

Answer 2

why is it -1 though?

Answer 3

draw some pictures and think about it.

Answer 4

You don't put a 10 foot gap at the very beginning or at the very end.
they go in between floats. the number of "in between spaces" is one less than the number of floats.

Answer 5

oh yeah. :) thanks lots