Final answer:
To find out how many bags of batter mix are needed to make 48 brownie squares, a proportion is used based on the initial ratio of 4 bags for 36 squares. After calculating the proportion, it is determined that Lorenzo needs 6 bags of batter mix.
Step-by-step explanation:
The question asks for the calculation to determine the number of bags of batter mix needed to make a different quantity of brownies, based on a known ratio. To solve it, we can use the concept of proportions. Lorenzo initially used 4 bags of batter mix to bake 36 brownie squares. This gives us a ratio of bags of mix to brownie squares.
Initial Ratio:
4 bags: 36 squares
Proportion Setup:
To find out how many bags are needed for 48 squares, we set up a proportion:
4 bags / 36 squares = x bags / 48 squares
Calculating 'x':
Now, we solve for 'x':
x = (4 bags * 48 squares) / 36 squares
x = 192 / 36
x = 5.33, which we round up to 6 bags because you cannot have a fraction of a bag.
Conclusion:
Therefore, Lorenzo needs 6 bags of batter mix to make 48 brownie squares.