Questions: 3) A movie theater put 8 cups of oil for every 9 batches of popcorn they made. After they had made 63 batches of popcorn, how much oil would they popcorn have used?

Solution Steps

The problem states that the movie theater uses 8 cups of oil for every 9 batches of popcorn.

The problem states that the theater made 63 batches of popcorn.

We need to find out how much oil is used for 63 batches. We can set up the proportion as follows: \[ \frac{8 \text{ cups of oil}}{9 \text{ batches}} = \frac{x \text{ cups of oil}}{63 \text{ batches}} \]

Cross-multiply to solve for \( x \): \[ 8 \times 63 = 9 \times x \] \[ 504 = 9x \] \[ x = \frac{504}{9} \] \[ x = 56 \]

Final Answer