Final answer:
To find the total number of drops of yellow and blue paint needed in the 33 gallon batch of green paint, we need to find the total number of drops needed for one pint of green paint and then multiply it by the number of pints in 33 gallons.
Step-by-step explanation:
To find the total number of drops of yellow and blue paint needed in the 33 gallon batch of green paint, we need to find the total number of drops needed for one pint of green paint and then multiply it by the number of pints in 33 gallons.
Each pint of green paint is made by adding 4 yellow drops and 7 blue drops. Therefore, each pint of green paint requires a total of 4 + 7 = 11 drops.
Since there are 8 pints in a gallon, the total number of pints in 33 gallons is 33 * 8 = 264 pints. Therefore, the factory will need a total of 264 * 11 = 2,904 drops of yellow and blue paint in the 33 gallon batch of green paint.