Final answer:
To determine the maximum number of half-gallon containers that can be filled with 67 gallons of paint, we convert gallons to quarts and then divide by the number of quarts per container. We get 134 as the maximum number of containers that can be filled.
Step-by-step explanation:
The student is asking how many containers can be filled with 67 gallons of paint if each container holds half a gallon. This is a conversion problem that can be solved using multiplication because gallons are a larger unit than quarts, and you multiply when converting a larger unit to a smaller unit. Since there are 4 quarts in a gallon, we should first convert gallons into quarts to find out how many quarts of paint the art teacher has.
We can start by finding the equivalence of quarts for 67 gallons: 67 gallons × 4 quarts/gallon = 268 quarts. Next, we need to determine how many half-gallon containers can be filled with that amount of paint. Each half-gallon equivalent to 2 quarts because 0.5 gallon × 4 quarts/gallon = 2 quarts. The final step is to divide the total quarts of paint by the quarts each container can hold: 268 quarts ÷ 2 quarts/container = 134 containers. Therefore, the maximum number of full half-gallon containers that the art teacher can fill is 134.