Question

Help solving quadratics i have to show step. by step work

Answer 1

The largest number of backpacks they can pack is the highest common factor of the number of pencils, note pads and granola bars divided among the backpacks.

Number of pencils = 144;

Number of note pads = 90;

Number of granola bars = 36.

Factors of 144 are;

`1,2,3,4,6,8,12,18,24,36,48,72,144`

Factors of 90 are;

`1,2,3,5,6,9,10,15,18,30,45,90`

Factors of 36 are;

`1,2,3,4,6,9,12,18,36`

The highest common factor is;

`18`

Thus, the largest number of backpacks they can pack is 18.