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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?
 

 Aug 19, 2021
 #1
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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)

 

4x3=12 

5x10=50

12+50=62

 Aug 19, 2021

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