Tim is buying packages of paper plates and cups. he wants to have equal amounts of each, but plates come 24 per pack, and cups come 16 per pack. what is the least amount of plates and cups tim will have to buy to get the same number of each?

8
16
24
48

Step-by-step explanation:

To answer this question we need the least common multiple of the numbers.

8 - neither 16 nor 24 go into this number :( INCORRECT

16 - 16 goes into this number, but 24 does not :( INCORRECT

24 - 24 goes into this number, but 16 does not :( INCORRECT

48 - 24 goes onto this number, and so does 16 :) CORRECT

24 x 2 = 48

16 x 3 = 48

PLEASE MARK BRAINLIEST

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