Question

Riley is packing 144 pencils ,120 files , and 108 notebooks equally into as many boxes as possible

A) find the greatest number of boxes that Riley could pack the item into

B) find the number of pencils, files, and notebooks in each box

Answer 1

Final Answer : 12 Boxes

Steps:
1) Required no. of boxes will be HCF of 144, 120,108 .

$120 = 12 \times 10 \\ \\ 144 = 12 \times 12 \\ \\ 108 = 12 \times 9$

2) Hence, HCF ( 120,108,144 ) = 12

Therefore, Greatest number of boxes to pack all items into them equally will be 12 .

(B) Each box contain :


$\frac{144}{12} = 12 \: pencils \\ \\ \frac{108}{12} = 9 \: notebooks \\ \\ \frac{120}{12} = 10 \: files$