Owen had three different kinds of stickers that he wanted to put on paper. he put a bird sticker on every 30th paper, a sport sticker on every 50th paper and a robot sticker on every 60th paper. will any of the first 600 pages have all three stickers? if so, which pages?

depends on how many days you are talking about

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4