Question

How would I solve this?? My math course didn't teach me anything related to this sort of problem..

Answer 1

Small barrel=144 large barrel=168

Explanation:

The ratio is 6 to 7 so lets assign x as a factor.

6x=Small barrel (S)

7x=Large barrel (L)

7x-6x=x

x is the difference so x is 24

x=24

6*24=144=S

7*24=168=L

Answer 2

See below

Explanation:

The larger is

7-6 = 1 unit bigger than the smaller....and this unit = 24 gallons

each unit is 24 gallons

larger barrel holds 24 * 7 = 168 gal

smaller barrel holds 24 * 6 = 144 gal