A car manufacturer has 96 cars to paint. Each batch of paint can paint 12 cars. Which equation can be used to find b, how many batches of paint the manufacturer needs to paint all the cars?

f) b/12 = 96
g) b/96 = 12
h) 12/b = 96
i) 96/b = 12

Number baths of paint:

b = 96 / 12

b = 96 / 12 Multiply boths sides by 12

12 b = 96 Divide both sides by b

12 = 96 / b

i ) 96 / b = 12

thank you

To find the equation that can be used to find "b" (the number of batches of paint the manufacturer needs to paint all the cars), let's analyze the situation.

We know that each batch of paint can paint 12 cars, and the car manufacturer has a total of 96 cars to paint. Therefore, the number of batches needed can be calculated by dividing the total number of cars by the number of cars that can be painted in each batch.

So, the correct equation would be: b = 96/12.

Looking at the provided options:
f) b/12 = 96 doesn't represent the correct equation because we need to find the value of "b" and not divide "b" by 12.
g) b/96 = 12 doesn't represent the correct equation because we need to find the value of "b" and not divide 96 by "b".
h) 12/b = 96 doesn't represent the correct equation because we need to find the value of "b" and not divide 12 by "b".
i) 96/b = 12 represents the correct equation because it represents the situation where the total number of cars (96) is divided by the number of cars painted in each batch (12) to find the value of "b".

Therefore, the correct equation is i) 96/b = 12.