The number of boxes need to be purchased for the art project will be [tex]\frac{5x}{24}[/tex]
Explanation
Total number of children is [tex]x[/tex] and each child will be given 5 crayons.
So, the total number of crayons needed will be : [tex]5*x= 5x[/tex]
Now, crayons come in boxes and each box contains 24 crayons. Suppose, the number of boxes need to purchased is [tex]y[/tex]. So.....
[tex]24y=5x\\ \\ y= \frac{5x}{24}[/tex]
Thus, the number of boxes need to be purchased for the art project will be [tex]\frac{5x}{24}[/tex]