Derek made fudge brownies and peanut butter brownies. Each batch of fudge brownies makes 8 pans. Each batch of peanut butter brownies makes 2 pans. Derek made 6 batches and ended up with 24 pans of brownies. How many batches of each type of brownie did he make?
Guess #1: 4 batches of fudge brownies and 2 batches of peanut butter brownies
Find the number of batches:
4 + 2 = 6
Find the total pans of brownies:
(8 × 4) + (2 × 2) = 32 + 4 = 36
The guess is incorrect. Try another guess.
Guess #2: 3 batches of fudge brownies and 3 batches of peanut butter brownies
Find the number of batches:
3 + 3 = 6
Find the total pans of brownies:
(8 × 3) + (2 × 3) = 24 + 6 = 30
The guess is incorrect. Try another guess.
Guess #3: 2 batches of fudge brownies and 4 batches of peanut butter brownies
Find the number of batches:
2 + 4 = 6
Find the total pans of brownies:
(8 × 2) + (2 × 4) = 16 + 8 = 24
The guess is correct. Derek made 2 batches of fudge brownies and 4 batches of peanut butter brownies.