Ineed to know how to solve this and need an explanation along with answer.

First you should write what you know since we don't know how many helmets we will use x

helmets - 5(x)
bats - 3(6x)

then write out the equation

5(x)+3(6x)=4600

then solve so first multiple 5 times x and multiply 3 and 6x

5x+18x=4600

then combine like terms which are 5x and 18x

23x=4600

then divide both sides by 23

x=200

200is the number of helmets and since there are six times the bats as helmets you multiply that by six and get

helmets=200
bats=1200