The number of boxes need to be purchased for the art project will be
![(5x)/(24)](https://img.qammunity.org/2019/formulas/mathematics/college/oummmjv9vtvdpjkj854j2b5dvrvgc7ozia.png)
Step-by-step explanation
Total number of children is
and each child will be given 5 crayons.
So, the total number of crayons needed will be :
![5*x= 5x](https://img.qammunity.org/2019/formulas/mathematics/college/ja8h5tigso5t5682aqmaobfn7p456vo19q.png)
Now, crayons come in boxes and each box contains 24 crayons. Suppose, the number of boxes need to purchased is
. So.....
![24y=5x\\ \\ y= (5x)/(24)](https://img.qammunity.org/2019/formulas/mathematics/college/ecvr0qza01ku905atoxzolitjqbybyjzkj.png)
Thus, the number of boxes need to be purchased for the art project will be
![(5x)/(24)](https://img.qammunity.org/2019/formulas/mathematics/college/oummmjv9vtvdpjkj854j2b5dvrvgc7ozia.png)