Trent made fudge brownies and peanut butter brownies. Each batch of fudge brownies makes 3 pans. Each batch of peanut butter brownies makes 10 pans. Trent made 9 batches and ended up with 62 pans of brownies. How many batches of each type of brownie did he make?
Guess and check.
If every batch is fudge: 9x3=27
If every batch is peanut butter: 9x10=90
Each time we replace a peanut butter batch with a fudge batch, 7 brownies are deducted from the total.
90-62=28 difference between all PB and actual amount
28/7=4 batches of fudge
9-4=5 batches of PB
There are 4 batches of fudge and 5 batches of PB.
(doing backwards to prove it's correct)