Respuesta :

He bought 14 full gallons and 10 half gallons.

Answer: There are 14 gallon jugs and 10 half gallon jugs.

Step-by-step explanation:

Since we have given that

Total number of jugs = 24

Let the number of gallon jugs be 'x'.

Let the number of half gallon jugs be '24-x'.

Total gallons of milk = 19

According to question,

[tex]x+\dfrac{24-x}{2}=19\\\\\dfrac{2x+24-x}{2}=19\\\\x+24=19\times 2\\\\x+24=38\\\\x=38-24\\\\x=14[/tex]

So, Number of gallon jugs be 14 and number of half gallon jug be 24-14=10.

Hence, there are 14 gallon jugs and 10 half gallon jugs.