Final answer:
To find out when a one-gallon jug will run out at the same time Matt finishes filling a bottle, we need to determine the number of bottles Matt can fill with a one-gallon jug.
A one-gallon jug of water will run out just before Matt finishes filling his 24-ounce bottle for the sixth time
Step-by-step explanation:
To find out when a one-gallon jug will run out at the same time Matt finishes filling a bottle, we need to determine the number of bottles Matt can fill with a one-gallon jug.
Since a gallon has 128 ounces and Matt has a 24 ounce bottle, we can divide 128 by 24 to find out how many 24 ounce bottles he can fill.
Dividing 128 by 24 gives us 5.33, which means Matt can fill 5 full bottles and part of a 6th bottle with one gallon. So, a one-gallon jug will run out when Matt finishes filling his 6th bottle.